University Engineering

Location:

Lansing, MI

Posted:

January 25, 2013

Contact this candidate

Resume:

** ******* ****

Mark M. Meerschaert C*** Wells Hall

Professor Phone: 517-***-****

Department of Statistics and Probability FAX: 517-***-****

Michigan State University Email: abqdy2@r.postjobfree.com

East Lansing, MI 48824-1027 USA Web: http://www.stt.msu.edu/users/mcubed/

SUMMARY

50+ papers in the past ve years in probability, statistics, applied mathematics, hydrology, physics, biology,

medicine, nance, and chemical engineering. $3,200,000+ in NSF/NIH grants in the last ve years. Editor

(Probability), Proceedings of the American Mathematical Society. Hirsch index H = 39.

EDUCATION

PHD in Mathematics (Probability), University of Michigan, Ann Arbor, 1984.

MS in Mathematics, University of Michigan, Ann Arbor, 1979.

BS Honors in Mathematics, High Distinction, University of Michigan, Ann Arbor, 1977.

EMPLOYMENT

Professor of Statistics & Probability, Michigan State University, 2006 to present.

Chairperson, Department of Statistics & Probability, Michigan State University, 2006 2009.

Chair of Applied Mathematics, University of Otago, Dunedin, New Zealand, 2005 2006.

Graduate Faculty in Hydrologic Sciences, University of Nevada, Reno, 1999 2005.

Professor of Physics, University of Nevada, Reno, 2004 2005.

Professor of Mathematics and Statistics, University of Nevada, Reno, 2002 2004.

Associate Professor of Mathematics, University of Nevada, Reno, 1995 2002.

Assistant Professor of Mathematics, University of Nevada, Reno, 1993 1995.

Visiting Associate Professor, Statistics and Probability, Michigan State University, 1992 1993.

Associate Professor of Mathematics, Albion College, 1991 1993.

Assistant Professor of Mathematics, Albion College, 1985 1991.

Senior Systems Analyst, Vector Research, Inc., Ann Arbor, MI 1984 1985.

Graduate Teaching Assistant, University of Michigan, Ann Arbor, 1983 1984.

Graduate Teaching Assistant, University of Michigan, Dearborn, 1982.

Systems Analyst (Operations Research), Vector Research, Inc., Ann Arbor, MI 1979 1981.

Graduate Teaching Assistant, University of Michigan, Ann Arbor 1977 1979.

Systems Programmer (CAD-CAM), Vega Servo-Control, Inc., Troy, MI 1977.

Computer Programmer, University of Michigan, Department of Journalism, 1976-1977.

PUBLICATIONS

Extreme value theory with operator norming, Extremes, to appear (with Hans-Peter Sche er, Fachbere-

ich Mathematik, Universit t Siegen, 57068 Siegen, Germany; and Stilian Stoev, Department of Statistics,

University of Michigan).

Tauberian theorems for matrix regular variation, Transactions of the American Mathematical Society, to

appear (with Hans-Peter Sche er).

Correlation Structure of Fractional Pearson Di usions, Computers and Mathematics with Applications, to

appear. Invited contribution to the Special Issue on Fractional Di erentiation and its Applications I. Guest

editors: Dumitru Baleanu, Wen Chen and J.A. Tenreiro Machado (with Nikolai N. Leonenko, Cardi School

of Mathematics, Cardi University; and Alla Sikorskii, Department of Statistics and Probability, Michigan

State University).

A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model,

Computers and Mathematics with Applications, to appear in the Special Issue on Fractional Di erentiation

and its Applications I. Guest editors: Dumitru Baleanu, Wen Chen and J.A. Tenreiro Machado (with F.

Liu, Mathematical Sciences, Queensland University of Technology, Brisbane, Australia; R.J. McGough; P.

Zhuang and Q. Liu, School of Mathematical Sciences, Xiamen University, Xiamen, China).

Fractal dimensions for continuous time random walk limits, Statistics and Probability Letters, to appear (with

Erkan Nane, Department of Mathematics and Statistics, Auburn University; and Yimin Xiao, Department

of Statistics and Probability, Michigan State University).

Fractional calculus in hydrologic modeling: A numerical perspective, Advances in Water Research, to appear

(with David A. Benson and Jordan Revielle, Hydrological Science and Engineering, Colorado School of

Mines).

Mixing-Driven Equilibrium Reactions in Multidimensional Fractional Advection Dispersion Systems, Physica

A: Statistical Mechanics and its Applications, to appear (with Diogo Bolster, Environmental Fluid Dynamics

Laboratories, Dept. of Civil and Environmental Engineering and Earth Sciences, University of Notre Dame;

David A. Benson; and Boris Baeumer, Department of Mathematics and Statistics,University of Otago, New

Zealand.).

Inverse stable subordinators, Mathematical Modeling of Natural Phenomena, to appear. Invited contribution

to the special issue on Random Walks and Anomalous Di usion. Guest editors Alexander Nepomnyashchy

and Vladimir Volpert (with Peter Straka).

A fractal Richards equation to capture the non-Boltzmann scaling of water transport in unsaturated media,

Advances in Water Resources, to appear (with HongGuang Sun, College of Hydrology and Water Resources,

Hohai University, Nanjing 210098, China; Yong Zhang, Division of Hydrologic Sciences, Desert Research

Institute, Las Vegas; Jianting Zhu, Division of Hydrologic Sciences, Desert Research Institute, Las Vegas;

and Wen Chen, College of Hydrology and Water Resources, Hohai University, Nanjing 210098, China).

Forecasting for periodic ARMA models, Journal of Time Series Analysis, to appear (with Paul L. Anderson,

Department of Mathematics and Computer Science, Albion College, Albion MI 49224; and Kai Zhang,

Department of Statistics and Probability, Michigan State University, East Lansing MI 48823).

Mathematical Modeling (2013) 4th Ed., Elsevier/Academic Press, San Diego, ISBN 978-0-12-386912-8.

Numerical methods for solving the multi-term time-fractional wave-di usion equations, Fractional Calculus

and Applied Analysis, Vol. 16 (2013), No. 1, pp. 9-25, DOI: 10.2478/s13540-013-0002-2 (with Fawang

Liu, Mathematical Sciences, Queensland University of Technology, Brisbane, Australia; Robert J. McGough,

Department of Electrical and Computer Engineering, Michigan State University; Pinghui Zhuang, School

of Mathematical Sciences, Xiamen University, China; and Qingxia Liu, School of Mathematical Sciences,

Xiamen University, China).

Fractional wave equations with attenuation, Fractional Calculus and Applied Analysis, Vol. 16 (2013), No.

1, pp. 262-272, DOI: 10.2478/s13540-013-0016-9 (with Peter Straka; Yuzhen Zhou, Department of Statistics

and Probability, Michigan State University; and Robert J. McGough).

Tempered fractional Cauchy problems on bounded domains, Proceedings of the American Mathematical

Society, Vol. 141 (2013), No. 2, pp. 699 710. (with Erkan Nane; and P. Vellaisamy, Department of

Mathematics, Indian Institute of Technology Bombay, Mumbai, India).

Fernique-type inequalities and moduli of continuity for anisotropic Gaussian random elds, Transactions of

the American Mathematical Society, Vol. 365 (2013), No. 2, pp. 1081 1107. (with Wensheng Wang, School

of Finance and Statistics, East China Normal University, and Department of Mathematics, Hangzhou Normal

University; and Yimin Xiao).

The fundamental solutions for multi-term modi ed power law wave equations in a nite domain, Electronic

Journal of Mathematical Analysis and Applications, Vol. 1, (2013), No. 7, pp. 1 12. (with H. Jiang,

Department of Mathematics, Qinghai Normal University, China; F. Liu; R. J. McGough; and Q. Liu).

Fractional dynamics at multiple times, Journal of Statistical Physics, Vol. 149 (2012), pp. 878-886 (with

Peter Straka, School of Mathematics, University of Manchester, United Kingdom).

Fractional governing equations for coupled random walks, Computers and Mathematics with Applications,

Vol. 64 (2012), pp. 3021 3036. Special Issue on Advances in Fractional Di erential Equations III (with

Agnieszka Jurlewicz, Hugo Steinhaus Center, Institute of Mathematics and Computer Science, Wroclaw

University of Technology, Wroclaw, Poland; Peter Kern, Mathematical Institute, Heinrich-Heine-Universit t

D sseldorf, 40225 D sseldorf, Germany; and Hans-Peter Sche er).

u u

Linking uvial bed sediment transport across scales, Geophysical Research Letters, Vol. 39 (2012), L20404

(6 pp.), doi:10.1029/2012GL053476. (with Aaron I. Packman, Department of Civil and Environmental

Engineering, Northwestern University; and Yong Zhang, Division of Hydrologic Sciences, Desert Research

Institute, Las Vegas, Nevada).

Stochastic solution to a time-fractional attenuated wave equation, Nonlinear Dynamics, Vol. 70 (2012), No.

2, pp. 1273 1281. Invited contribution to the special issue on Nonlinear Fractional Di erential equations

and their applications, to celebrate Professor Ravi P. Agarwal s 65th birthday (with Peter Straka; Yuzhen

Zhou; and Robert J. McGough).

Product rule for vector fractional derivatives, Fractional Calculus and Applied Analysis, Vol. 15 (2012), No.

3, pp. 463 478 (with Diogo Bolster, Department of Civil Engineering and Geological Sciences, University of

Notre Dame; and Alla Sikorskii).

Clustered continuous time random walks: Di usion and relaxation consequences, Proceedings of the Royal

Society A: Mathematical, Physical & Engineering Sciences, Vol. 468 (2012), No. 2142, pp. 1615 1628,

doi:10.1098/rspa.2011.0697 (with Karina Weron, Institute of Physics, Wroclaw University of Technology,

Poland; Aleksander Stanislavsky, Institute of Radio Astronomy, Kharkov, Ukraine; Agnieszka Jurlewicz,

Institute of Mathematics and Computer Science, Wroclaw University of Technology, Poland; and Hans-Peter

Sche er, Fachbereich Mathematik, Universit t Siegen, 57068 Siegen, Germany).

Space-time fractional di usion on bounded domains, Journal of Mathematical Analysis and Applications,

Vol. 393 (2012), No. 2, pp. 479 488, doi:10.1016/j.jmaa.2012.04.032 (with Zhen-Qing Chen, Department

of Mathematics, University of Washington; and Erkan Nane, Department of Mathematics and Statistics,

Auburn University).

Parameter estimation for exponentially tempered power law distributions, Communications in Statistics -

Theory and Methods, Vol. 41 (2012), No. 10, pp. 1839 1856 (with Parthanil Roy, Theoretical Statistics and

Mathematics Unit, Indian Statistical Institute, Kolkata, India; and Qin Shao, Department of Mathematics

and Statistics, University of Toledo).

Fractional Calculus, Anomalous Di usion, and Probability, Fractional Dynamics, R. Metzler and J. Klafter,

Eds., World Scienti c, Singapore, pp. 265 284, 2012.

Stochastic Models for Fractional Calculus (2012) De Gruyter Studies in Mathematics 43, ISBN 978-3-11-

025869-1 (with Alla Sikorskii, Department of Statistics and Probability, Michigan State University).

Cluster continuous time random walks, Studia Mathematica, Vol. 205 (2011), No. 1, pp. 13 30 (with

Agnieszka Jurlewicz; and Hans-Peter Sche er).

The fractional Poisson process and the inverse stable subordinator, Electronic Journal of Probability, Vol.

16 (2011), Paper no. 59, pp. 1600 1620 (with Erkan Nane; and P. Vellaisamy).

Gaussian setting time for solute transport in uvial systems, Water Resources Research, Vol. 47 (2011),

W08601 (6 pp.), doi:10.1029/2010WR010102 (with Yong Zhang, Division of Hydrologic Sciences, Desert

Research Institute, Las Vegas, Nevada).

Tempered stable laws as random walk limits, Statistics and Probability Letters, Vol. 81 (2011), No. 8,

pp. 989 997 (with Arijit Chakrabarty, Department of Mathematics, Indian Institute of Science, Bengaluru

560012, INDIA).

Distributed-order fractional Cauchy problems on bounded domains, Journal of Mathematical Analysis and

Applications, Vol. 379 (2011), pp. 216 228 (with Erkan Nane; and P. Vellaisamy).

Asymptotic results for Fourier-PARMA time series, Journal of Time Series Analysis, Vol. 32 (2011), No. 2,

pp. 157 174 (with Yonas Gebeyehu Tesfaye, Hydrologist, GEI Consultants, Inc., Rancho Cordova, California;

and Paul L. Anderson, Department of Mathematics, Albion College, Michigan).

Extremal behavior of a coupled continuous time random walk, Physica A: Statistical Mechanics and Its

Applications,, Vol. 390 (2011), pp. 505 511 (with Rina Schumer, Division of Hydrologic Sciences, Desert

Research Institute, Reno, NV 89512; and Boris Baeumer, Department of Mathematics and Statistics, Uni-

versity of Otago, Dunedin, New Zealand).

Fractional normal inverse Gaussian di usion, Statistics and Probability Letters, Vol. 81 (2011), pp. 146 152

(with A. Kumar and P. Vellaisamy, Department of Mathematics, Indian Institute of Technology Bombay,

Mumbai, India).

Modeling and simulation with operator scaling, Stochastic Processes and Their Applications, Vol. 120 (2010)

pp. 2390 2411 (with Serge Cohen, Universit Paul Sabatier, Laboratoire de Statistique et de Probabilit s,

e e

Toulouse, France; and Jan Rosi ski, Department of Mathematics, University of Tennessee, Knoxville).

Stochastic models for relativistic di usion, Physical Review E, Vol. 82 (2010), p. 011132, DOI: 10.1103/Phys-

RevE.82.011132 (with Boris Baeumer; and Mark Naber, Department of Mathematics, Monroe County Com-

munity College, Michigan).

Particle size dependence of the probability distribution functions of travel distances of gravel particles in

bedload transport, Journal of Geophysical Research, Vol. 115 (2010), p. F00A14, doi:10.1029/2009JF001276

(with K. M. Hill, St. Anthony Falls Laboratory, Department of Civil Engineering, University of Minnesota;

and L. DellAngelo, Barr Engineering, Minneapolis, Minnesota, USA).

Normal and anomalous dispersion of gravel tracer particles in rivers, Journal of Geophysical Research, Vol.

115 (2010), p. F00A12, doi:10.1029/2008JF001222 (with E Foufoula-Georgiou and Vamsi Ganti, St. An-

thony Falls Laboratory and National Center for Earth-surface Dynamics, Department of Civil Engineering,

University of Minnesota; Enrica Viparelli, and Gary Parker, Ven Te Chow Hydrosystems Laboratory, De-

partments of Civil and Environmental Engineering and Geology, University of Illinois).

Con dence interval estimation under the presence of non-Gaussian random errors: Applications to uncer-

tainty analysis of chemical processes and simulation, Computers & Chemical Engineering, Vol. 34 (2010),

pp. 298 305, doi:10.1016/j.compchemeng.2009.11.004 (with V. R. V squez and W. B. Whiting, Department

of Chemical Engineering, University of Nevada, Reno).

Tempered stable L vy motion and transient super-di usion, Journal of Computational and Applied Mathe-

matics, Vol. 233 (2010), pp. 2438 2448, 10.1016/j.cam.2009.10.027. (with Boris Baeumer).

Particle tracking for fractional di usion with two time scales, Computers and Mathematics with Applications,

Vol. 59 (2010), No. 3, pp. 1078 1086, doi:10.1016/j.camwa.2009.05.009. Invited Paper for the Special Issue

on Advances in Fractional Di erential Equations, (with Yong Zhang, Desert Research Institute, Las Vegas,

Nevada; and Boris Baeumer).

Space-time duality for fractional di usion, Journal of Applied Probability, Vol. 46 (2009), pp. 1100 1115

(with Erkan Nane, Department of Mathematics and Statistics, Auburn University; and Boris Baeumer,

Department of Mathematics & Statistics, University of Otago, Dunedin, New Zealand).

A bivariate in nitely divisible distribution with exponential and Mittag-Le er marginals, Statistics and

Probability Letters, Vol. 79 (2009), pp. 1596 1601 (with Tomasz J. Kozubowski, Department of Mathematics

and Statistics, University of Nevada, Reno).

Fractional advection-dispersion equations for modeling transport at the Earth surface, Journal of Geophysical

Research, Vol. 114 (2009), p. F00A07, doi:10.1029/2008JF001246 (with Rina Schumer, Desert Research

Institute, Reno, Nevada; and Boris Baeumer, Department of Mathematics & Statistics, University of Otago,

Dunedin, New Zealand).

Parameter estimation for fractional transport: A particle tracking approach, Water Resources Research,

Vol. 45 (2009), W10415, doi:10.1029/2008WR007577 (with Paramita Chakraborty, Department of Statistics,

University of South Carolina; and Chae Young Lim, Department of Statistics and Probability, Michigan State

University).

Examining the in uence of heterogeneous porosity elds on conservative solute transport, Journal of Contam-

inant Hydrology, Vol. 108 (2009), Issues 3 4, pp. 77 88 (with Bill X. Hu, Department of Geological Sciences,

Florida State University; Warren Barrash, Center for Geophysical Investigation of the Shallow Subsurface,

Department of Geosciences, Boise State University; David Hyndman, Department of Geological Sciences,

Michigan State University; Changming He, Delaware Geological Survey, University of Delaware, Newark;

Xinya Li,, Department of Geological Sciences, Florida State University; and Luanjing Guo, Department of

Geological Sciences, Florida State University).

Fractional Cauchy problems on bounded domains, The Annals of Probability, Vol. 37 (2009), No. 3, pp. 979

1007 (with Erkan Nane, Department of Mathematics and Statistics, Auburn University; and P. Vellaisamy,

Department of Mathematics, Indian Institute of Technology Bombay, India).

Correlated continuous time random walks, Statistics and Probability Letters, Vol. 79 (2009), pp. 1194

1202 (with Erkan Nane, Department of Mathematics and Statistics, Auburn University; and Yimin Xiao,

Department of Statistics and Probability, Michigan State University).

Brownian subordinators and fractional Cauchy problems, Transactions of the American Mathematical So-

ciety, Vol. 361 (2009), No. 7, pp. 3915 3930 (with Boris Baeumer; and Erkan Nane, Department of

Mathematics and Statistics, Auburn University).

A simple and e cient random walk solution of multi-rate mobile/immobile mass transport equations, Ad-

vances is Water Resources, Vol. 32 (2009), pp. 532 539 (with David A. Benson, Department of Geology

and Geological Engineering, Colorado School of Mines).

Extremal limit theorems for observations separated by random power law waiting times, Journal of Statistical

Planning and Inference, Vol. 139 (2009), pp. 2175 2188 (with Stilian Stoev).

Local Whittle estimator for anisotropic random elds, Journal of Multivariate Analysis, Vol. 100 (2009),

No. 5, pp. 993 1028, doi:10.1016/j.jmva.2008.10.002 (with Hongwen Guo, Educational Testing Service,

Princeton, New Jersey; and Chae Young Lim, Department of Statistics and Probability, Michigan State

University).

Simulation of chemical reaction via particle tracking: di usion-limited versus thermodynamic rate-limited

regimes, Water Resources Research, Vol. 44 (2008), p. W12201, doi:10.1029/2008WR007111 (with David

A. Benson).

Time-domain 3D Green s functions for power law media, Journal of the Acoustical Society of America, Vol.

124 (2008) No. 5, pp. 2861 2872 (with James F. Kelly and Robert J. McGough, Department of Electrical

and Computer Engineering, Michigan State University).

Subordinated multiparameter groups of linear operators: Properties via the transference principle, Functional

Analysis and Evolution Equations. The G nter Lumer Volume. Edited by H. Amann, W. Arendt, M. Hieber,

R. Nagel, F. Neubrander, S. Nicaise. Birkh user Basel, ISBN 978-3-7643-7793-9, (2008) pp. 35 50 (with

Boris Baeumer; and Mihaly Kov cs, Department of Mathematics & Statistics, University of Otago, Dunedin,

New Zealand).

Particle tracking for time-fractional di usion, Physical Review E, Vol. 78 (2008), No. 3, p. 036705 (7 pp.),

DOI: 10.1103/PhysRevE.78.036705 (with Yong Zhang; and Boris Baeumer).

Fractional conservation of mass, Advances is Water Resources, Vol. 31 (2008), pp. 1377 1381 (with Stephen

W. Wheatcraft, Department of Geologic Sciences, University of Nevada, Reno).

Tempered anomalous di usion in heterogeneous systems, Geophysical Review Letters, Vol. 35 (2008), p.

L17403, doi:10.1029/2008GL034899 (with Yong Zhang; and Boris Baeumer).

Local times of multifractional Brownian sheets, Bernoulli, Vol. 14 (2008), No. 3, pp. 865 898, DOI:

10.3150/08-BEJ126 (With Dongsheng Wu, Department of Mathematical Sciences, University of Alabama in

Huntsville; and Yimin Xiao, Department of Statistics and Probability, Michigan State University).

Triangular array limits for continuous time random walks, Journal of Multivariate Analysis, Vol. 118 (2008),

No. 9, pp. 1606 1633 (with Hans-Peter Sche er, Department of Mathematics, University of Siegen, Ger-

many).

In uence of fracture statistics on advective transport and implications for geologic repositories, Water Re-

sources Research, Vol. 44 (2008), W08405, doi:10.1029/2007WR006179 (with Donald M. Reeves, Desert

Research Institute, Reno, Nevada, USA; and David A. Benson).

Large deviations for local time fractional Brownian motion and applications, Journal of Mathematical Anal-

ysis and Applications, Vol. 346 (2008), pp. 432 445 (with Erkan Nane and Yimin Xiao, Department of

Statistics and Probability, Michigan State University).

Innovations algorithm asymptotics for periodically stationary time series with heavy tails, Journal of Multi-

variate Analysis, Vol. 99 (2008), No. 1, pp. 94 116, DOI 10.1016/j.jmva.2007.02.005 (with Paul L. Anderson,

Department of Statistics and Probability, Michigan State University; and Laimonis Kavalieris, Department

of Mathematics and Statistics, University of Otago, Dunedin, New Zealand).

Transport of conservative solutes in simulated fracture networks 2. Ensemble solute transport and the

correspondence to operator-stable limit distributions, Water Resources Research, Vol. 44 (2008), W05410,

doi:10.1029/2008WR006858 (with Donald M. Reeves; and David A. Benson).

Transport of conservative solutes in simulated fracture networks 1. Synthetic data generation, Water Re-

sources Research, Vol. 44 (2008), W05404, doi:10.1029/2007WR006069 (with Donald M. Reeves; and David

A. Benson).

Ensemble solute transport in 2-D operator-scaling random elds, Water Resources Research, Vol. 44 (2008),

W02434, doi:10.1029/2007WR005998 (with Nathan D. Monnig and David A. Benson, Department of Geology

and Geological Engineering, Colorado School of Mines; and Boris Baeumer).

Numerical solutions for fractional reaction-di usion equations, Computers and Mathematics with Applica-

tions, Vol. 55 (2008), pp. 2212 2226 (with Boris Baeumer and Mihaly Kov cs, Department of Mathematics

& Statistics, University of Otago, Dunedin, New Zealand).

A new stochastic model for fracture transmissivity assessment, Water Resources Research, Vol. 44 (2008), p.

W02435, doi:10.1029/2007WR006053 (with Tomasz J. Kozubowski, Department of Mathematics & Statis-

tics, University of Nevada, Reno, Nevada, USA; and Gunnar Gustafson, Department of GEO Engineering,

Chalmers University of Technology, Gothenburg, Sweden)

Fractional reproduction-dispersal equations and heavy tail dispersal kernels, Bulletin of Mathematical Biol-

ogy, Vol. 69 (2007), pp. 2281 2297 (with Boris Baeumer and Mihaly Kov cs).a

Extreme events with power law interarrivals, Geophysical Research Letters, Vol. 34 (2007), No. 16, L16404

(5 pp.) (with David A. Benson; and Rina Schumer, Desert Research Institute, Reno).

Fourier-PARMA models and their application to modeling of river ows, Journal of Hydrologic Engineering,

Vol. 12 (2007), No. 5, pp. 462 472 (with Yonas Gebeyehu Tesfaye and Paul L. Anderson).

Mathematical Modeling (2007) 3rd Ed., Academic Press, San Diego, ISBN 978-0-12-370857-1.

Space-fractional advection-dispersion equations with variable parameters: Diverse formulas, numerical so-

lutions, and application to the MADE-site data. Water Resources Research, Vol. 43 (2007), p. W05439,

doi:10.1029/2006WR004912 (with Yong Zhang; David A. Benson; and Eric M. LaBolle, University of Cali-

fornia, Davis).

Fractional di usion with two time scales, Physica A: Statistical Mechanics and its Applications, Vol. 373

(2007), pp. 237 251 (with Boris Baeumer, Department of Mathematics and Statistics, University of Otago,

Dunedin, New Zealand).

A second order accurate numerical method for the two-dimensional fractional di usion equation, Journal

of Computational Physics, Vol. 220 (2007) pp. 813 823 (with Charles Tadjeran, Chief Systems Engineer,

Sierra Nevada Corporation).

Operator scaling stable random elds, Stochastic Processes and their Applications, Vol. 117 (2007), pp.

312 332 (with Hermine Bierm, Universit Ren Descartes, Paris, France; and H.P. Sche er)

e e e

Ultrafast subordinators and their hitting times, Publications de l Institut Mathematique, Nouvelle s rie, Vol.

80(94) (2006), 193 206; Memorial volume for Tatjana Ostrogorski (with Mihaly Kov cs, Department of

Mathematics & Statistics, University of Otago, Dunedin, New Zealand).

Fractional Laplace motion, Advances in Applied Probability, Vol. 38 (2006), No. 2, pp. 451 464 (with T.J.

Kozubowski, Department of Mathematics and Statistics, University of Nevada, Reno; and K. Podg rski, o

Department of Mathematical Sciences, Indiana University Purdue University Indianapolis).

Random walk approximation of fractional-order multiscaling anomalous di usion, Physical Review E, Vol.

74 (2006), 026706 (10 pp) (with Zhang Yong; David A. Benson; Eric M. LaBolle, University of California,

Davis; and Hans-Peter Sche er).

Coupled continuous time random walks in nance, Physica A: Statistical Mechanics and its Applications,

Vol. 370 (2006), pp. 114-118 (with Enrico Scalas, Department of Advanced Sciences and Technologies, East

Piedmont University, Alessandria, Italy).

Lagrangian characterization of contaminant transport through multidimensional heterogeneous media with

limited heterogeneity information. Conference Proceedings for MODFLOW and MORE 2006: Managing

Ground-Water Systems, International Ground Water Modeling Center, pp. 639 643 (with Zhang Yong;

David A. Benson; Eric M. LaBolle; and H.P. Sche er).

Stochastic model for ultraslow di usion, Stochastic Processes and Their Applications, Volume 116, Issue 9,

September 2006, Pages 1215 1235 (with Hans-Peter Sche er, Department of Mathematics, University of

Siegen, Germany).

Fractional vector calculus for fractional advection-dispersion, Physica A: Statistical Mechanics and Its Ap-

plications, Vol. 367 (2006), pp. 181 190 (with Je Mortensen, Department of Mathematics and Statistics,

University of Nevada, Reno; and Stephen W. Wheatcraft).

On using random walks to solve the space-fractional advection-dispersion equations, Journal of Statistical

Physics, Vol. 123 (2006), No.1, pp. 89 110 (with Zhang Yong; D. A. Benson; and Hans-Peter Sche er).

Heavy tailed log hydraulic conductivity distributions imply heavy tailed log velocity distributions, Water

Resources Research, Vol. 42 (2006), No. 4, article W04411 (12 pp.), doi:10.1029/2004WR003815 (with

Matthew Kohlbecker, AMEC Earth & Environmental, Inc., Portland, Oregon; and Stephen W. Wheatcraft).

Parameter estimation for the truncated Pareto distribution, Journal of the American Statistical Association:

Theory and Methods, Volume 101 (2006), Number 473, pp. 270 277 (with Inmaculada B. Aban, Department

of Biostatistics, School of Public Health, University of Alabama at Birmingham; and Anna K. Panorska,

Department of Mathematics and Statistics, University of Nevada, Reno).

A second order accurate numerical approximation for the fractional di usion equation, Journal of Compu-

tational Physics, Vol. 213 (2006), No. 1, pp. 205 213 (with Charles Tadjeran; and H.P. Sche er).

Identi cation of PARMA models and their application to the modeling of river ows, Water Resources

Research, Vol. 42 (2006), No. 1, W01419 (11pp.), doi:10.1029/2004WR003772 (with Yonas Gebeyehu

Tesfaye, Graduate Program of Hydrologic Sciences, University of Nevada, Reno; and Paul Anderson).

Aquifer operator-scaling and the e ect on solute mixing and dispersion, Water Resources Research, Vol. 42

(2006), No. 1, W01415 (18 pp.), doi:10.1029/2004WR003755 (with D. A. Benson; B. Baeumer; and H.-P.

Sche er).

Finite di erence approximations for two-sided space-fractional partial di erential equations, Applied Numer-

ical Mathematics, Vol. 56 (2006), No. 1, pp. 80 90 (with Charles Tadjeran).

Finite di erence methods for two-dimensional fractional dispersion equation, Journal of Computational

Physics, Vol. 211 (2006), No. 1, pp. 249 261 (with H.P. Sche er and C. Tadjeran)

Inhomogeneous fractional di usion equations, Fractional Calculus and Applied Analysis, Vol. 8, No 4 (2005),

pp. 371 386 (with Boris Baeumer; and Satoko Kurita, Department of Mathematics and Statistics, University

of Nevada, Reno).

Inhomogeneous fractional di usion equations, Fractional Calculus and Applied Analysis, Fractional Calculus

and Applied Analysis, Vol. 8, No 4 (2005), pp. 371 386 (with Boris Baeumer; and Satoko Kurita, Department

of Mathematics and Statistics, University of Nevada, Reno).

Speculative option valuation and the fractional di usion equation, Fractional derivatives and their applica-

tions, pp. 265 274, A. Le Mehaut, J. A. Tenreiro Machado, J. C. Trigeassou and J. Sabatier, Eds., Ubooks,

Germany, ISBN 3-86608-026-3 (2005) (with Enrico Scalas; Rudolf Goren o, First Mathematical Institute,

Free University of Berlin, Germany; and Francesco Mainardi, Department of Physics, Bologna University,

Italy).

Do heterogeneous sediment properties and turbulent velocity uctuations have something in common? Some

history and a new stochastic process. Dynamics of Fluids and Transport in Fractured Rock. B. Faybishenko,

P.A. Witherspoon, and J. Gale, (eds.), Geophysical Monograph Series, Volume 162, 250 pages, hardbound,

2005, ISBN 0-87590-427-0 (with Fred J. Molz, Department of Environmental Engineering & Science, Clemson

University, Clemson, SC; T.J. Kozubowski; and P.D. Hyden, Department of Mathematical Sciences, Clemson

University).

Parameter estimation for periodically stationary time series, Journal of Time Series Analysis, Vol. 26 (2005),

No. 4, pp. 489 518 (with P. L. Anderson).

Fractal travel time estimates for dispersive contaminants, Ground Water, Vol. 43 (2005), No. 3, pp. 401 407

(with Danelle Clarke, Department of Mathematics and Statistics, University of Nevada, Reno; and Stephen

W. Wheatcraft).

Space-time fractional derivative operators, Proceedings of the American Mathematical Society, Vol. 133

(2005), No. 8, pp. 2273 2282 (with B. Baeumer; and J. Mortensen).

Advection and dispersion in time and space, Physica A: Statistical Mechanics and Its Applications, Volume

350 (2005), Issues 2-4, 15 May 2005, pp. 245 262 (with B. Baeumer and D. A. Benson).

Operator geometric stable laws, Journal of Multivariate Analysis, Vol. 92 (2005), No. 2, pp. 298 323 (with

T. J. Kozubowski, A. K. Panorska, and H. P. Sche er).

Limit theorems for continuous time random walks with slowly varying waiting times, Statistics and Probability

Letters, Vol. 71 (2005), No. 1, pp. 15 22 (with Hans-Peter Sche er).

Dimension results for sample paths of operator stable L vy processes, Stochastic Processes and Their Ap-

plications, Vol. 115 (2005), No. 1, pp. 55 75 (with Yimin Xiao, Department of Statistics and Probability,

Michigan State University).

Radial fractional-order dispersion through fractured rock, Water Resources Research, Vol. 40 (2004), No.

12, pp. 1 9, doi:10.1029/2004WR003314 (with David A. Benson; Charles Tadjeran; Irene Farnham, Stoller

Navarro Joint Venture, Las Vegas, Nevada; and Greg Pohll, Desert Research Institute, Reno, Nevada).

Finite di erence approximations for fractional advection-dispersion ow equations, Journal of Computational

and Applied Mathematics, Vol. 172 (2004), No. 1, pp. 65 77 (with Charles Tadjeran).

Limit theorems for continuous time random walks with in nite mean waiting times, Journal of Applied Prob-

ability Vol. 41 (2004), No. 3, pp. 623 638 (with H. P. Sche er). Identi ed by Essential Science IndicatorsSM

to be one of the most cited recent papers in the eld of Mathematics. This Fast Breaking Paper is featured

in the June 2006 issue. See http://www.esi-topics.com/fbp/2006/june06-MarkMMeerschaert.html

Vector Gr nwald formula for fractional derivatives, Fractional Calculus and Applied Analysis, Vol. 7 (2004),

No. 1, pp. 61 81 (with H.P. Sche er and J. Mortensen).

Limit theorem for continuous time random walks with two time scales, Journal of Applied Probability, Vol.

41 (2004), No. 2, pp. 455 466 (with P. Becker-Kern, Department of Mathematics, University of Dortmund,

Germany; and H. P. Sche er).

Fractional Laplace Model for Hydraulic Conductivity, Geophysical Research Letters, Vol. 31 (2004), No. 8,

(4 pp.) DOI 10.1029/2003GL019320 (with Fred J. Molz; Tomasz J. Kozubowski; and Silong Lu, Tetra Tech,

Inc., Atlanta, GA).

Limit theorems for coupled continuous time random walks, The Annals of Probability, Vol. 32 (2004), No.

1B, pp. 730 756 (with P. Becker-Kern and H-P Sche er).

Generalized least squares estimators for the thickness of heavy tails. Journal of Statistical Planning and

Inference, Vol. 119 (2004), no. 2, pp. 341 352 (with I. B. Aban, Department of Mathematics, University of

Nevada, Reno).

The operator -stable laws, Publ. Math. Debrecen, Vol. 63 (2003), No. 4, pp. 569 585 (with Tomasz J.

Kozubowski; and H-P Sche er).

Hausdor dimension of operator stable sample paths, Monatshefte f r Mathematik, Vol. 140 (2003), No. 2,

pp. 90 101 (with P. Becker-Kern and H. P. Sche er).

Nonparametric methods for heavy tailed vector data: A survey with applications from nance and hydrology,

Recent advances and trends in nonparametric statistics, pp. 265 279, M. G. Akritas and D.N. Politis, Eds.,

Elsevier Science (2003), ISBN 0-444-51378-7 (with H. P. Sche er).

Fractal mobile/immobile solute transport, Water Resources Research, 39 (2003), no. 10, doi: 10.1029/

2003WR002141, 12 pp. (with R. Schumer; D. A. Benson; and B. Baeumer).

Portfolio modeling with heavy tailed random vectors, Handbook of Heavy-Tailed Distributions in Finance,

pp. 595 640, S. T. Rachev, Ed., Elsevier North-Holland, New York (2003) ISBN 0-444-50896-1 (with H. P.

Sche er).

Multiscaling fractional advection-dispersion equations and their solutions, Water Resources Research, Vol.

39 (2003) No. 1, pp. 1022 1032, (with R. Schumer; D. A. Benson; and B. Baeumer).

Governing equations and solutions of anomalous random walk limits, Physical Review E: Statistical, Nonlin-

ear, and Soft Matter Physics, Vol. 66 (2002) No. 6, pp. 102R 105R, article 060102(R) (with D. A. Benson,

H. P. Sche er, and P. Becker-Kern).

Hydraulic conductivity, velocity, and the order of the fractional dispersion derivative in a highly heteroge-

neous system, Water Resources Research, Vol. 38 (2002), No. 11, pp. 1227 1239, (with M. Herrick, Desert

Research Institute; D. A. Benson; K. R. McCall, Department of Physics, University of Nevada, Reno; and

S. L. Painter, Southwest Research Institute, San Antonio TX).

Regular variation and the functional central limit theorem for heavy tailed random vectors. Inst. Math.

Publ. Nouvelle S rie (Belgrade Mathematics Institute Publications, New Series), Vol. 71 (2002), pp. 55 62

(with S. Sepanski, Department of Mathematics, Saginaw Valley State University).

Stochastic solution of space-time fractional di usion equations, Physical Review E: Statistical, Nonlinear,

and Soft Matter Physics, Vol. 65 (2002) No. 4, pp. 1103 1106, article 041103 (with B. Baeumer, D. A.

Benson, and H. P. Sche er).

Semistable L vy Motion, Fractional Calculus and Applied Analysis, Vol. 5 (2002), No 1, pp. 27 54 (with H.

P. Sche er).

Stochastic solutions for fractional Cauchy problems, Fractional Calculus and Applied Analysis, Vol. 4 (2001),

No. 4, pp. 481 500 (with B. Baeumer).

Shifted Hill s estimator for heavy tails, Communications in Statistics: Simulation and Computation, Vol. 30

(2001), No. 4, pp. 949 962 (with I. B. Aban).

Limit Distributions for Sums of Independent Random Vectors: Heavy Tails in Theory and Practice, Wiley

Interscience, 2001, xiv+486 pp. ISBN 0-471-35629-8 (with H. P. Sche er).

Sample cross-correlations for moving averages with regularly varying tails, Journal of Time Series Analysis,

Vol. 22 (2001), no. 4, pp. 481 492 (with H. P. Sche er).

Subordinated advection-dispersion equation for contaminant transport, Water Resources Research, Vol. 37

(2001), No. 6, pp. 1543 1550 (with B. Baeumer; D. A. Benson; and S. W. Wheatcraft).

Eulerian derivation of the fractional advection-dispersion equation, Journal of Contaminant Hydrology, Vol.

38 (2001), pp. 69 88 (with D. A. Benson, R. Schumer, and S. W. Wheatcraft).

Fractional dispersion, L vy motion, and the MADE tracer tests, Transport in Porous Media, Vol. 42 (2001),

pp. 211 240. (with D. A. Benson, R. Schumer, and S. W. Wheatcraft).

Operator L vy motion and multiscaling anomalous di usion, Physical Review E: Statistical, Nonlinear, and

Soft Matter Physics, Vol. 63 (2001) No. 2, 021***-****** (with B. B umer and D. A. Benson).

Moving averages of random vectors with regularly varying tails, Journal of Time Series Analysis, vol. 21

(2000), pp. 297 328 (with H. P. Sche er).

Limit laws for symmetric k tensors of regularly varying measures, Journal of Multivariate Analysis, vol. 73

(2000), pp. 241 261 (with H. P. Sche er).

The fractional-order governing equation of L vy motion, Water Resources Research, Vol. 36 (2000) pp.

1413 1424 (with D. A. Benson and S. W. Wheatcraft).

Application of a fractional advection-dispersion equation, Water Resources Research, Vol. 36 (2000) pp.

1403 1412 (with D. A. Benson and S. W. Wheatcraft).

Spectral decomposition for operator self-similar srocesses and their generalized domains of attraction, Stoch-

astic Processes and Their Applications, Vol. 84 (1999) pp. 71 80 (with H. P. Sche er).

Innovations algorithm for periodic time series, Stochastic Processes and Their Applications, Vol. 83 (1999)

pp. 149 169 (with P. L. Anderson; and A. Vecchia, Water Resources, U.S. Geological Survey, Bismarck,

South Dakota).

Sample covariance matrix for random vectors with heavy tails, Journal of Theoretical Probability, Vol. 12

(1999), No. 3, pp. 821 838 (with H. P. Sche er).

Techniques for assessing the e ects of uncertainties in thermodynamic models and data, Fluid Phase Equilib-

ria, Vol. 158 160 (1999) pp. 627 641 (with V. Vasquez and W. Whiting, Division of Chemical Engineering,

University of Nevada, Reno).

Moment estimator for random vectors with heavy tails, Journal of Multivariate Analysis, Vol. 71 (1999),

No. 1, pp. 145 159 (with H. P. Sche er).

One dimensional marginals of operator stable laws and their domains of attraction, Publ. Math. Debrecen.,

Vol. 55 (1999), No. 3 4, pp. 487 499 (with H. P. Sche er).

Multidimensional advection and fractional dispersion, Physical Review E: Statistical, Nonlinear, and Soft

Matter Physics, Vol. 59 (1999), No. 5, pp. 5026 5028 (with D. A. Benson and B. B umer).

Multivariable regular variation of functions and measures, Journal of Applied Analysis, Vol. 5 (1999), No.

1, pp. 125 146 (with H. P. Sche er).

Mathematical Modeling, 2nd Ed., Academic Press, 1999, xvi+351 pp. ISBN: 0-12-487652-8.

A simple robust estimator for the thickness of heavy tails, Journal of Statistical Planning and Inference, Vol.

71 (1998), No. 1 2, pp. 19 34 (with H. P. Sche er).

Modeling river ows with heavy tails, Water Resources Research, Vol. 34 (1998) No. 9, pp. 2271 2280 (with

P. L. Anderson).

Convergence of semitypes, Publ. Math. Debrecen, Vol. 53 (1998), pp. 119 131 (with H. P. Sche er).

Periodic moving averages of random variables with regularly varying tails, The Annals of Statistics, Vol. 25

(1997), No. 2, pp. 771 785 (with P. L. Anderson).

The structure of generalized domains of semistable attraction, Statistics and Probability Letters, Vol. 33

(1997), pp. 367 372 (with H. P. Sche er).

Spectral decomposition for generalized domains of semistable attraction, The Journal of Theoretical Proba-

bility, Vol. 10 (1997), No. 1, pp. 51 71 (with H. P. Sche er).

Mathematical modeling experience for teachers, Proceedings of the second biannual symposium of mathe-

matical modeling, June 13 15, 1996 (with C. Gupta, Department of Mathematics, University of Nevada,

Reno).

Generalized domains of semistable attraction of nonnormal laws, The Journal of Applied Analysis, Vol. 2

(1996), No. 2, pp. 203 215 (with H. P. Sche er).

Series representation for semistable laws and their domains of semistable attraction, The Journal of Theo-

retical Probability, Vol. 9 (1996), No. 4, pp. 931 959 (with H. P. Sche er).

Symmetry Groups in d-Space, Statistics and Probability Letters, Vol. 22 (1995), No. 1, pp. 1 6 (with J. A.

Veeh, Department of Algebra, Analysis, and Combinatorics, Auburn University).

Norming operators for generalized domains of attraction, Journal of Theoretical Probability, Vol. 7 (1994),

pp. 793 798.

Sample moments and symmetric statistics, Stochastic Analysis on In nite Dimensional Spaces, Pitman

Research Notes in Mathematics, Vol. 310 (1994), pp. 197 210. (with V. Mandrekar, Department of Statistics

and Probability, Michigan State University).

Mathematical Modeling, Academic Press, 1993, xiv+287 pp. ISBN: 0-12-487650-1.

Regular variation and generalized domains of attraction in Rk, Statistics and Probability Letters, Vol. 18

(1993) No. 2, pp. 233 239.

The structure of the exponents and symmetries of an operator stable law, Journal of Theoretical Probability,

Vol. 6 (1993), No. 4, 713 726. (with J. A. Veeh).

Pseudomoments for generalized domains of attraction, Proceedings of the American Mathematical Society,

Vol. 113 (1991), pp. 1071 1075.

Regular variation in Rk and vector-normed domains of attraction, Statistics and Probability Letters, Vol. 11

(1991), pp. 287 289.

Spectral decomposition for generalized domains of attraction, The Annals of Probability, Vol. 19 (1991), pp.

875 892.

Computing the symmetries and exponents of operator-stable laws, Proceedings of the 22nd Symposium on

the Interface between Computer Science and Statistics, May 1990, 461 462.

Moments of random vectors which belong to some domain of normal attraction, The Annals of Probability,

Vol. 18 (1990), pp. 870 876.

Modelling the performance of a scanning radio communications sensor, Naval Research Logistics Quarterly,

Vol. 35 (1988), pp. 307 315 (with W. P. Cherry, Vector Research, Inc., Ann Arbor, MI).

Regular variation in Rk, Proceedings of the American Mathematical Society, Vol. 102 (1988), pp. 341 348.

Domains of attraction of nonnormal operator-stable laws, Journal of Multivariate Analysis, Vol. 19 (1986),

pp. 342 347.

Regular variation and domains of attraction in Rk, Statistics and Probability Letters, Vol. 4 (1986), pp.

43 45.

Multivariable Domains of Attraction and Regular Variation, Doctoral Thesis, The University of Michigan,

August 1984.

WORK IN PROGRESS

Continuous time random walks on hemigroups (with H. P. Sche er, Department of Mathematics, University

of Siegen, Germany; and P. Becker-Kern, Department of Mathematics, University of Dortmund, Germany).

Fractional Pearson di usion, Stochastic Processes and their Applications, submitted (with Nikolai N. Leo-

nenko, Cardi School of Mathematics, Cardi University; and Alla Sikorskii, Department of Statistics and

Probability, Michigan State University).

Numerical analysis of the time variable fractional order mobile-immobile advection-dispersion model, Frac-

tional Calculus and Applied Analysis, submitted (with Hongmei Zhang, School of Mathematical and Com-

puter Sciences, Fuzhou University, China; Fawang Liu, Mathematical Sciences, Queensland University of

Technology, Australia; Mantha S. Phanikumar, Civil and Environmental Engineering, Michigan State Uni-

versity).

Semi-Markov approach to continuous time random walk limit processes, Annals of Probability, submitted

(with Peter Straka).

Hydraulic Conductivity Fields: Gaussian or Not? Geophysical Research Letters, submitted (with Mine

Dogan, Remke L. Van Dam, and David W. Hyndman, Department of Geological Sciences, Michigan State

University; and David Benson, Department of Geological Engineering, Colorado School of Mines).

Parameter estimation for operator scaling random elds, Journal of Multivariate Analysis, submitted (with

Chae Young Lim, Department of Statistics and Probability, Michigan State University; and Hans-Peter

Sche er).

Tempered Fractional Brownian Motion, Journal of Applied Probability, submitted (with Farzad Sabzikar,

Department of Statistics and Probability, Michigan State University).

Re ected stable subordinators for fractional Cauchy problems, The Annals of Probability, submitted (with

Boris Baeumer, Department of Mathematics and Statistics, University of Otago, Dunedin, NZ; Mih ly a

Kov cs, Department of Mathematics and Statistics, University of Otago, Dunedin, NZ; Ren L. Schilling,

a e

Institute of Mathematical Stochastics, Technical University of Dresden, Germany; and Peter Straka, School

of Mathematics, University of Manchester, Manchester, M13 9PL, United Kingdom).

TALKS AND CONFERENCE ACTIVITY Presenter, if not Mark M. Meerschaert.

Program Committee, 6th IFAC Symposium on Fractional Di erentiation and Its Applications, Catania,

Italy, 2014.

Scienti c Committee, 7th International Conference on L vy Processes, Wroclaw, Poland, July 15 19, 2013.

Plenary speaker, 7th International Conference on L vy Processes, Wroclaw, Poland, July 15 19, 2013.

Keynote speaker, First International Symposium on Fractional Partial Di erential Equations: Theory, Nu-

merics, and Applications, Brown University, Providence, Rhode Island, June 3 5, 2013.

TEST-RWHet-v1.0: A software suite for tempered stable preasymptotic pollutant transport in multi-dimensional

natural media, MODFLOW and More 2013, Integrated Ground Water Modeling Center, Colorado School

of Mines, Golden, Colorado, June 2 5, 2013 (with Yong Zhang, Division of Hydrologic Sciences, Desert

Research Institute, Las Vegas NV; Boris Baeumer, Mathematics & Statistics, University of Otago, Dunedin,

New Zealand; Rina Schumer, Department of Hydrological Sciences, Desert Research Institute, Reno, Nevada;

and Eric M. LaBolle, Land, Air, and Water Resources, University of California, Davis).

Fractional Pearson Di usion, Joint Annual Meeting of the American Mathematical Society and the Math-

ematical Association of America, San Diego, California, January 2013 (with Alla Sikorskii, Department of

Statistics and Probability, Michigan State University; and Nikolai N. Leonenko, Cardi School of Mathe-

matics, Cardi University).

Tempered fractional Brownian motion, Joint Annual Meeting of the American Mathematical Society and

the Mathematical Association of America, San Diego, California, January 2013 (with Farzad Sabzikar,

Department of Statistics and Probability, Michigan State University).

Fractional Calculus Models for Anomalous Di usion, Department of Mathematics, Tulane University, De-

cember 2012 (with David Benson, Department of Geological Engineering, Colorado School of Mines; Hermine

Bierm, Universit Ren Descartes, Paris, France; Serge Cohen, Universit Paul Sabatier, Laboratoire de

e e e e

Statistique et de Probabilit s, Toulouse, France; Mine Dogan, Department of Geological Sciences, Michi-

gan State University; David Hyndman, Department of Geological Sciences, Michigan State University; Jan

Rosi ski, Department of Mathematics, University of Tennessee, Knoxville; Hans-Peter Sche er, Department

of Mathematics, University of Siegen, Germany; Rina Schumer; Alla Sikorskii; Remke L. Van Dam, Depart-

ment of Geological Sciences, Michigan State University; and Stephen W. Wheatcraft, Geological Sciences,

University of Nevada, Reno).

Linking uvial bed sediment transport across scales, Annual Meeting of the American Geophysical Union,

San Francisco, December 2012 (with Aaron Packman, Department of Civil and Environmental Engineering,

Northwestern University; and Yong Zhang).

Forecasting for periodic ARMA models, 2012 National Bureau of Economic Research National Science

Foundation Time Series Conference, Texas A & M University, October 2012 (with Kai Zhang, Department

of Statistics and Probability, Michigan State University; and Paul L. Anderson, Department of Mathematics

and Computer Science, Albion College, Albion MI 49224).

The Inverse Stable Subordinator, Invited talk, International Conference on Nonlocal Operators: Analysis,

Probability, Geometry and Applications, Center for Interdisciplinary Research, University of Bielefeld, Ger-

many, July 2012 (with Boris Baeumer; David Benson, Geology and Geological Engineering, Colorado School

of Mines; Zhen-Qing Chen, Department of Mathematics, University of Washington; James Kelly, Naval

Postgraduate School, Monterey, California; Robert McGough, Electrical and Computer Engineering, Michi-

gan State University; Erkan Nane, Department of Mathematics and Statistics, Auburn University; Peter

Kern, Department of Mathematics, Heinrich Heine University, Duesseldorf, Germany; Hans-Peter Schef-

er, Department of Mathematics, University of Siegen, Germany; Ren Schilling, Institute of Mathematics

and Stochastics, Technical University of Dresden, Germany; Rina Schumer, Water Resources, Desert Re-

search Institute, Reno NV; Alla Sikorskii; Peter Straka, Department of Statistics and Probability, Michigan

State University; Yimin Xiao, Department of Statistics and Probability; and Yuzhen Zhou, Department of

Statistics and Probability, Michigan State University).

Fractional Calculus Models for Anomalous Di usion, Invited talk, SAMSI summer program on Nonlocal

Continuum Models for Di usion, Mechanics, and Other Applications, Research Triangle Park, North Car-

olina, June 2012 (with Alla Sikorskii).

Semi-Markov solutions to time-fractional di usion equations, SAMSI summer program on Nonlocal Con-

tinuum Models for Di usion, Mechanics, and Other Applications, Research Triangle Park, North Carolina,

June 2012 (with Peter Straka ).

Stochastic model for medical ultrasound, 7th International Workshop on Applied Probability, Jerusalem,

Israel, June 2012 (with Boris Baeumer; David Benson; James Kelly; Robert McGough; Erkan Nane; Peter

Kern; Hans-Peter Sche er; Rina Schumer; Alla Sikorskii; Peter Straka; Yimin Xiao; and Yuzhen Zhou).

Fractional calculus in medical imaging and hydrology, Organizer, 4th International Conference on Porous

Media, Purdue University, May 14-16, 2012 (with Richard Magin, Department of Bioengineering, University

of Illinois at Chicago).

Fractional calculus models for medical ultrasound, 4th International Conference on Porous Media, Purdue

University, May 14-16, 2012 (with Boris Baeumer; David Benson; James Kelly; Robert McGough; Erkan

Nane; Peter Kern; Hans-Peter Sche er; Rina Schumer; Alla Sikorskii; Peter Straka; Yimin Xiao; and Yuzhen

Zhou).

The continuum renewal property of fractional di usion, 5th IFAC Symposium on Fractional Di erentiation

and Its Applications, Nanjing, China, May 2012 (with Peter Straka and Hans-Peter Sche er).

Analytical solutions of a class of multi-term time-space fractional wave equations in a nite domain, 5th IFAC

Symposium on Fractional Di erentiation and Its Applications, Nanjing, China, May 2012 (with Fawang Liu,

Mathematical Sciences, Queensland University of Technology, Australia; Robert J. McGough; and Hui Jiang,

Department of Mathematical Sciences, Qinghai Normal University, Xining, China).

Numerical analysis of the time variable fractional order mobile-immobile advection-dispersion model, 5th

IFAC Symposium on Fractional Di erentiation and Its Applications, Nanjing, China, May 2012 (with Hong-

mei Zhang, School of Mathematical and Computer Sciences, Fuzhou University, China; Fawang Liu;and

Mantha S. Phanikumar, Civil and Environmental Engineering, Michigan State University).

Numerical methods for solving the multi-term time-fractional wave-di usion equations, 5th IFAC Symposium

on Fractional Di erentiation and Its Applications, Nanjing, China, May 2012 (with Fawang Liu ; Robert J.

McGough; PingHui Zhuang and QingXia Liu, School of Mathematical Sciences, Xiamen University, China).

Program Committee Co-Chair, 5th IFAC Symposium on Fractional Di erentiation and Its Applications,

Nanjing, China, May 2012.

Stable Laws, Fractional Calculus, and Medical Ultrasound, invited talk, International Conference on Long-

Range Dependence, Self-Similarity and Heavy Tails, in Honor of Professor Murad S. Taqqu, Research Tri-

angle Park, North Carolina, USA, April 2012 (with Peter Straka; Yuzhen Zhou; Robert McGough; Boris

Baeumer; David Benson; James Kelly; Erkan Nane; Peter Kern, Department of Mathematics, Heinrich Heine

University, Duesseldorf, Germany; Hans-Peter Sche er; Rina Schumer; Alla Sikorskii; and Yimin Xiao).

Finite-Dimensional Distributions of Continuous Time Random Walk Limit Processes, International Confer-

ence on Long-Range Dependence, Self-Similarity and Heavy Tails, in Honor of Professor Murad S. Taqqu,

Research Triangle Park, North Carolina, USA, April 2012 (with Peter Straka ).

Tempered fractional Brownian motion, International Conference on Long-Range Dependence, Self-Similarity

and Heavy Tails, in Honor of Professor Murad S. Taqqu, Research Triangle Park, North Carolina, USA,

April 2012 (with Farzad Sabzikar, Department of Statistics and Probability, Michigan State University).

Statistical Modeling of Hydraulic Conductivity Fields, Annual Meeting of the American Geophysical Union,

San Francisco, December 2011 (with Boris Baeumer; David A. Benson; Geo rey Bohling, Kansas Geological

Survey, Lawrence, Kansas; Mine Dogan, Department of Geological Sciences, Michigan State University;

David Hyndman, Department of Geological Sciences, Michigan State University; Tomasz J. Kozubowski,

Dept. of Mathematics and Statistics, Univ. of Nevada, Reno; Silong Lu, Tetra Tech, Inc., Atlanta, GA;

Fred J. Molz, Dept. of Environmental Engineering & Science, Clemson University; and Hans-Peter Sche er,

Department of Mathematics, University of Siegen, Germany).

Conditional Fractal Simulation of Hydraulic Conductivity at the MADE Site, Annual Meeting of the Amer-

ican Geophysical Union, San Francisco, December 2011 (with James J. Butler, Kansas Geological Survey,

Lawrence, Kansas; Geo rey Bohling; Mine Dogan ; and David Hyndman).

Reaction-di usion for the fractional mobile-immobile model, Annual Meeting of the American Geophysi-

cal Union, San Francisco, December 2011 (with Boris Baeumer ; David A. Benson; and Mih ly Kov cs,

a a

Mathematics & Statistics, University of Otago, Dunedin, New Zealand).

The E ect of Imperfect Mixing on the Rates (and Governing Equations) of Chemical Reactions, Invited talk,

Annual Meeting of the American Geophysical Union, San Francisco, December 2011 (with Boris Baeumer;

David A. Benson ; and Diogo Bolster, Civil Engineering and Geological Sciences, University of Notre Dame).

Fractional Di usion, Radiology Seminar, University of Illinois at Chicago, November 2011 (with Boris

Baeumer; Warren Barrash, Department of Geosciences, Boise State University; David A. Benson; Paramita

Chakraborty, Mathematics, California State University, Bakers eld; Bill X. Hu, Department of Geologi-

cal Sciences, Florida State University; Changming He, Delaware Geological Survey, University of Delaware,

Newark; Luanjing Guo, Department of Geological Sciences, Florida State University; David Hyndman; James

F. Kelly; Peter Kern; Mih ly Kov cs; Eric M. LaBolle; Xinya Li, Department of Geological Sciences, Florida

a a

State University; Chae Young Lim, Department of Statistics and Probability, Michigan State University;

Robert J. McGough; Hans-Peter Sche er; Rina Schumer; Alla Sikorskii; Charles Tadjeran, Sierra Nevada

Corporation; Stephen W. Wheatcraft, Geological Sciences, University of Nevada, Reno; Yimin Xiao; and

Yong Zhang).

Fractional Di usion, Environmental Fluid Dynamics (EFD) Seminar, University of Notre Dame, November

2011 (with Boris Baeumer; Warren Barrash; David A. Benson; Paramita Chakraborty; Bill X. Hu; Chang-

ming He; Luanjing Guo; David Hyndman; James F. Kelly; Peter Kern; Mihly Kovcs; Eric M. LaBolle; Xinya

Li,; Robert J. McGough; Hans-Peter Sche er; Rina Schumer; Alla Sikorskii; Charles Tadjeran; Stephen W.

Wheatcraft; Yimin Xiao; Yong Zhang).

Fractional Calculus and Probability, Student Seminar, Department of Statistics and Probability, Michigan

State University, November, 2011.

Comparison of 2D Conditional and Unconditional Fractal Simulations of Highly Heterogeneous Hydraulic

Conductivity Fields, 2011 Geological Society of Amarica Annual Meeting in, Minneapolis, October 2011

(with Mine Dogan, David W. Hyndman, and Remke L. van Dam, Department of Geological Sciences,

Michigan State University; David A. Benson, Department of Geology and Geological Engineering, Colorado

School of Mine; James J. Butler, Jr. and Geo rey C. Bohling, Kansas Geological Survey, University of

Kansas).

Fractal stochastic K eld generation based on dir

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