Mark M. Meerschaert

East Lansing MI 48823

Mark M. Meerschaert
is a Professor in the Department of
Statistics and Probability at Michigan
State University. Meerschaert
has professional experience in the areas of probability, statistics,
statistical physics, mathematical modeling, operations research,
partial differential equations, ground water and surface water
hydrology. He started his professional career in 1979 as a systems
analyst at Vector Research, Inc. of

Students: Click here for class information (syllabus, etc.)

See below for some recent preprints. Click
here for his resume, a complete list of publications,
Google Scholar profile,
information about the Academic Press textbook Mathematical
Modeling, the De Gruyter textbook Stochastic
Models for
Fractional Calculus, or the research monograph Limit Distributions for Sums of Independent Random
Vectors: Heavy Tails in Theory and Practice.

RECENT PAPERS AND TALKS in PDF format: Click below to
download. Click here for a free PDF
viewer.

- Random field models for hydraulic conductivity in ground water flow, Special Session on Random Fields and Long Range Dependence, AMS Regional Meeting, Michigan State University, 15 March 2015 (with Boris Baeumer, Maths & Stats, U Otago, Dunedin, New Zealand; David A. Benson, Geology & Geo Eng, Colorado School of Mines; Hermine Bierme, MAP5 Universite Rene Descartes, Paris; Geoffrey Bohling, Kansas Geological Survey, Lawrence, Kansas; Mine Dogan, Geology and Geophysics, University of Wyoming; David Hyndman, Geological Sciences, Michigan State University; Tomasz J. Kozubowski, Math and Stat, Univ. of Nevada, Reno; Chae Young Lim, Statistics and Probability, Michigan State U; Silong Lu, Tetra Tech, Inc., Atlanta, GA; Fred J. Molz, Environmental Eng & Science, Clemson University; Farzad Sabzikar, Statistics and Probability, Michigan State U Hans-Peter Scheffler, Mathematics, Uni Siegen, Germany; Remke Van Dam, Institute for Future Environments, QUT).
- Fractional diffusion on bounded domains, Special Session on Fractional Calculus and Nonlocal Operators, AMS Regional Meeting, Michigan State University, 14 March 2015 (with Boris Baeumer, Maths & Stats, University of Otago, New Zealand; Jinghua Chen, School of Sciences, Jimei University, China; Zhen-Qing Chen, Mathematics, University of Washington; Ozlem Defterli, Math and Computer Sci, Cankaya U, Turkey; Marta D'Elia, Computer Sci Research Inst, Sandia National Labs; Qiang Du, Applied Physics & Applied Math, Columbia University; Max Gunzburger, Scientific Computing, Florida State U; Mihaly Kovacs, Maths & Stats, University of Otago, New Zealand; Rich Lehoucq, Comp Sci Research Inst, Sandia National Labs; Tomasz Luks, Math\'ematique, Ecole Centrale de Marseille; Farzad Sabzikar, Statistics and Probability, Michigan State; Rene L. Schilling, Institute of Math. Stoch., TU Dresden; Alla Sikorskii, Statistics and Probability, Michigan State; Peter Straka, Applied Mathematics, U New South Wales).
- Fractional
Calculus, Anomalous Diffusion, and Probability, Colloquium Talk,
Department of Mathematics, Oregon State University, February 16, 2015
(with Paul Anderson, Math and Computer Science, Albion College; Boris
Baeumer, Department of Mathematics and Statistics, University of Otago,
Dunedin, NZ; David
Benson, Geological Engineering, Colorado School of Mines; Mine Dogan,
Geological Sciences,
Michigan State University; David Hyndman, Geological Sciences, Michigan
State University; Peter Kern, , Department of
Mathematics, Heinrich-Heine-University, Duesseldorf, Germany;
James Kelly, Naval Postgraduate School; M. Kovács, Maths &
Stats,
University of Otago, New Zealand; Robert McGough, Electrical
Engineering, Michigan State; Erkan Nane, Math and Stat, Auburn
University; Hans-Peter
Scheffler,
Department of Mathematics, University of Siegen, Germany; Rina Schumer,
Hydrology, Desert Research Institute, Reno,
Nevada; Remke Van Dam, Geological Sciences, Michigan State U.; Stephen
W. Wheatcraft, Geological Sciences, U. Nevada, Reno; Yimin Xiao,
Statistics and Probability, Michigan State University; and Yong Zhang,
Department of Geological Sciences, University of Alabama).

- Semi-Markov approach to continuous time random walk limit processes, Invited Talk, Joint Mathematics Meetings, San Antonio, TX, January 13, 2015 (with Peter Straka, School of Mathematics and Statistics, University of New South Wales, Australia)
- Tempered Fractional Calculus, Probability Seminar, Department of Mathematics, University of Washington, Seattle, November 2014 (with Farzad Sabzikar, Department of Statistics and Probability, Michigan State University; Inmaculada B. Aban, Department of Biostatistics, University of Alabama in Birmingham; Boris Baeumer; Jinghua Chen, School of Sciences, Jimei University, Xiamen, China; Peter Kern; Anna K. Panorska, Department of Mathematics and Statistics, University of Nevada, Reno; Mantha S. Phanikumar, Department of Civil & Environmental Engineering, Michigan State University; Parthanil Roy, Indian Statistical Institute, Kolkata, India; Hans-Peter Scheffler; Qin Shao, Department of Mathematics, University of Toledo; Alla Sikorskii, Department of Statistics and Probability, Michigan State University; Aklilu Zeleke, Lyman Briggs School and Department of Statistics and Probability, Michigan State University; and Yong Zhang).

- Reflected
spectrally negative stable processes and their governing equations,
Transactions of the American
Mathematical Society, to appear (with Boris
Baeumer, Department of Mathematics and Statistics, University of Otago,
Dunedin, NZ;
M.
Kovács, Department of Mathematics and Statistics, University of
Otago, Dunedin, NZ; René L. Schilling, Institute of Mathematical
Stochastics, Technical University of Dresden, Germany; and Peter
Straka).

- Tempered fractional
stable motion, Journal of
Theoretical Probability, to appear (with Farzad
Sabzikar, Department of Statistics and Probability, Michigan State
University).

- Anisotropic
fractional diffusion tensor imaging, Journal of Vibration and Control,
to appear in the Special Issue on Challenges in Fractional Dynamics and
Control Theory (with Richard L. Magin and
Allen Q. Ye, Department of Bioengineering, University of Illinois at
Chicago).

- Modeling mixed retention and early arrivals in multi-dimensional heterogeneous media using an explicit Lagrangian scheme (with Yong Zhang, Department of Geological Sciences, University of Alabama; Boris Baeumer, Department of Mathematics and Statistics, University of Otago, Dunedin, NZ; and Eric M. LaBolle, University of California, Davis).
- Relaxation
patterns and semi-Markov dynamics (with Bruno Toaldo, Department of
Statistical Sciences, Sapienza - University of Rome).