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

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.

- 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, Department of Statistics and Probability, Michigan State
University).

- 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, Department of Mathematics & Statistics, University of Otago, New Zealand; M. Kovács, Department of Mathematics & Statistics, University of Otago, New Zealand; René Schilling, Instiute for Stochastic Mathematics, Technical University of Dresden, Germany; and Peter Straka, Department of Applied Mathematics, University of New South Wales, Australia).
- Tempered Fractional Calculus, International Symposium on Fractional Partial Differential Equations: Theory, Numerics and Applications, Newport, Rhode island, June 2013 (with Farzad Sabzikar, Department of Statistics and Probability, Michigan State University; Boris Baeumer, Department of Mathematics & Statistics, University of Otago, New Zealand; Anna K. Panorska, Department of Mathematics and Statistics, University of Nevada, Reno; Parthanil Roy, Indian Statistical Institute, Kolkata; Hans-Peter Scheffler, Department of Mathematics, University of Siegen, Germany; Qin Shao, Department of Mathematics, University of Toledo; Alla Sikorskii, Department of Statistics and Probability, Michigan State University; and Yong Zhang, Desert Research Institute, Las Vegas, Nevada).

- Attenuated fractional wave equations with anisotropy, Journal of Vibration and Acoustics, Special Issue on Fractional Calculus in Vibration and Acoustics, to appear (with Robert J. McGough, Department of Electrical and Computer Engineering, Michigan State University).
- Semi-Markov
approach to continuous time random walk limit processes, The Annals of Probability, to
appear (with Peter
Straka, Department
of Applied Mathematics, University
of New South Wales, Australia).

- 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, School of Mathematics and Statistics, University of New South Wales, Australia).
- 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 (with Farzad Sabzikar, Department of Statistics and Probability, Michigan State University; and Jinghua Chen, School of Sciences, Jimei University, Xiamen, China).
- A new anisotropic fractional diffusion model for diffusion tensor imaging (with A. Hanyga; and R. L. Magin, Dept of Bioengineering, University of Illinois at Chicago).
- Correlation
Structure of Time-Changed Lévy Processes
(with Nikolai N. Leonenko, Cardiff School of Mathematics, Cardiff
University, United Kingdom; René L. Schilling; and Alla
Sikorskii).