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.

- Tempered Fractional Calculus, International Symposium on Fractional Differentiation and Its Applications, Catania, Sicily, Italy, June 2014. Winner of the Riemann-Liouville Award for the Best Theory Paper at this conference (with Farzad Sabzikar, Department of Statistics and Probability, Michigan State University; Inmaculada B. Aban, Department of Biostatistics, University of Alabama in Birmingham; Boris Baeumer, Department of Mathematics & Statistics, University of Otago, New Zealand; Jinghua Chen, School of Sciences, Jimei University, China; Peter Kern, Department of Mathematics, University of Duesseldorf, Germany; 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, 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; Aklilu Zeleke, Lyman Briggs School and Department of Statistics and Probability, Michigan State University; and Yong Zhang, Department of Geological Sciences, University of Alabama).
- Fractional
diffusion on bounded domains, International Symposium on Fractional
Differentiation and Its Applications, Catania, Sicily, Italy, June
2014.

- 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, School of Mathematics and Statistics, 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).
- 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).
- Correlation Structure of Time-Changed Lévy Processes, Communications in Applied and Industrial Mathematics, to appear in the Special Issue in Honor of Francesco Mainardi (with Nikolai N. Leonenko, Cardiff School of Mathematics, Cardiff University, United Kingdom; René L. Schilling; and Alla Sikorskii).
- Tempered fractional time series model for turbulence in geophysical flows, Journal of Statistical Mechanics: Theory and Experiment, to appear (with Farzad Sabzikar, Department of Statistics and Probability, Michigan State University; Mantha S. Phanikumar, Department of Civil and Environmental Engineering, Michigan State University; and Aklilu Zeleke, Lyman Briggs College and Department of Statistics and Probability, Michigan State University).
- Anisotropic fractional diffusion tensor imaging (with Richard L. Magin and Allen Q. Ye, Department of Bioengineering, University of Illinois at Chicago).
- Tempered fractional stable motion (with Farzad Sabzikar, Department of Statistics and Probability, Michigan State University).
- Fractional
diffusion on bounded domains (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).