Mark M. Meerschaert

East Lansing MI 48823 Until 1 August 2015, on leave in the Department of Mathematics at the University of Washington.

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.

- 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. Kov\'acs, 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).
- Fractional
diffusion on bounded domains, Scientific Computing Seminar, Brown
University, 26 September 2014 (with Boris
Baeumer; Jinghua Chen; Ozlem Defterli, Department of Mathematics
and Computer Science, Cankaya University, Turkey; Marta D'Elia,
Computer Science Research Institute, Sandia National Laboratories;
Qiang Du, Department of Applied Physics and Applied Mathematics,
Columbia University; Farzad
Sabzikar; Max Gunzburger, Department
of Scientific Computing, Florida State University; M.
Kovács, Department of Mathematics and Statistics, University of
Otago, Dunedin, NZ; Rich Lehoucq, Computer Science Research Institute,
Sandia National Laboratories; René L. Schilling, Institute of
Mathematical
Stochastics, Technical University of Dresden, Germany; Alla Sikorskii;
and Peter
Straka).

- Stochastic
solutions for fractional wave equations, Invited talk, Workshop on
Fractional Calculus, Probability and Non-local Operators: Applications
and Recent Developments. Bilbao, Spain, November 2013 (with Alla
Sikorskii).

- CTRW Model for Fractional Wave Equations, Invited talk, Interdisciplinary Conference Series: Applied Mathematics, Modeling, and Computer Science (AMMCS-2013) Waterloo, Ontario, Canada, August 26-30, 2013 (with Alla Sikorskii).
- Reflected spectrally negative stable processes and fractional Cauchy problems, 7th International Conference on Lévy Processes: Theory and Applications, Wrocław, Poland, July 2013 (with Boris Baeumer; M. Kovács; René Schilling; and Peter Straka).

- 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).
- Stochastic solutions for fractional wave equations, Nonlinear Dynamics, to appear in the special issue on Fractional Dynamics and Its Applications (with René L. Schilling, Institute of Mathematical Stochastics, Technical University of Dresden, Germany; and Alla Sikorskii, Department of Statistics and Probability, Michigan State University).
- Tempered Fractional
Calculus, Journal of
Computational Physics, to appear in the Special Issue on Fractional Partial Differential Equations.
Winner of the Riemann-Liouville
Award for the Best Theory Paper at the
International Symposium on Fractional Differentiation and Its
Applications, Catania, Sicily, Italy, June 2014 (with Farzad Sabzikar,
Department of Statistics and
Probability, Michigan
State University; and Jinghua Chen, School of Sciences, Jimei
University, Xiamen, China).

- 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).
- Fractional diffusion on bounded domains, Fractional Calculus and Applied Analysis, to appear (with Ozlem Defterli, Department of Mathematics and Computer Science, Cankaya University, Turkey; Marta D'Elia, Computer Science Research Institute, Sandia National Laboratories; Qiang Du, Department of Applied Physics and Applied Mathematics, Columbia University; Max Gunzburger, Department of Scientific Computing, Florida State University; and Rich Lehoucq, Computer Science Research Institute, Sandia National Laboratories).
- Extreme value
statistics for truncated Pareto-type distributions, (with Jan
Beirlant, Department of Mathematics and Leuven Statistics Research
Center, KU Leuven; and M.I. Fraga Alves and M.I. Gomes, Department of
Statistics and Operations Research, University of Lisbon).

- Modeling
anomalous diffusion in multi-dimensional heterogeneous media using the
renewal-reward process (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).