Mark M. Meerschaert
Department of Statistics
and
Probability
Phone:
(517) 3538881
C430 Wells Hall
FAX: (517) 4321405
619 Red Cedar Road
Email:
mcubed@stt.msu.edu
Michigan State
University
Web: http://www.stt.msu.edu/~mcubed/
East Lansing MI
48823
Mark M. Meerschaert
is a University Distinguished 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, and applications. He
started his professional career in 1979 as a systems analyst at
Vector Research, Inc. of Ann Arbor
and Washington
D.C., where he
worked on a wide variety of modeling projects for government and
industry. Meerschaert earned his
doctorate in Mathematics from the University of Michigan in 1984. He has
taught at the University
of Michigan, Albion College, Michigan
State University, the University
of Nevada in Reno, the University of Washington in
Seattle, and the University
of Otago
in Dunedin, New Zealand. His
current research interests include fractional calculus, anomalous
diffusion, continuous time random walks, limit theorems and
parameter estimation for infinite variance probability models,
heavy tail models in finance, modeling river flows with heavy
tails and periodic covariance structure, medical imaging,
fractional partial differential equations, and ground water flow
and transport.
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 Wiley research
monograph Limit
Distributions for Sums of Independent Random Vectors: Heavy Tails
in Theory and Practice.
Click here for a short video clip
about my research, originally shown at the Michigan State
University Distinguished Professor ceremony on 2 Novermber 2017.
RECENT TALKS and PAPERS in PDF format:
Click below to download. Click here for a free
PDF viewer.
 Anomalous diffusion and
turbulence, MURI Annual Review, Aberdeen Proving Ground,
Maryland, 4 December 2018 (with James F. Kelly, Department of
Statistics and Probability, Michigan State University; Mohsen
Zayernouri, Ehsan Kharazmi, Eduardo Moraes, and Mehdi Samiee,
Department of Computational Mathematics, Science, and
Engineering, Michigan State University; Anna Lischke, Guofei
Pang, Mamikon Gulian, Fangying Song, Xiaoning Zheng,
Zhiping Mao, Mark Ainsworth, and George Em Karniadakis, Division
of Applied Mathematics, Brown University; Christian Glusa,
Center for Computing Research, Sandia National Laboratory; Wei
Cai, Department of Mathematics, Southern Methodist University,
Dallas, TX; Svenja Lage and Peter Kern, Mathematical Institute,
HeinrichHeineUniversity Düsseldorf, Germany).
 Fractional
calculus and turbulence, ARO Fluid Dynamics Program
Review, Research Triangle Park, North Carolina, August 2018
(with B. Baeumer, Maths & Stats, University of Otago, New
Zealand; D. Benson, Geological Engineering, Colorado School of
Mines; J. Kelly, Statistics and Probability, Michigan State
University; M. Kovács, Chalmers U. Technology, Sweden; T. Luks,
Mathematics, Uni. Paderborn, Germany; M.S. Phanikumar, Civil
& Envir. Eng., Michigan State U; F. Sabzikar, Department of
Statistics, Iowa State University; M. Samiee, Comput. Math. Sci.
Eng., Michigan State U; H.P. Scheffler, Math, Universität
Siegen, Germany; R. Schumer, Hydrology, Desert Research
Institute, Reno, Nevada; A. Sikorskii, Statistics and
Probability, Michigan State U; C. Tadjeran, happily retired; S.
W. Wheatcraft, Geological Sciences, U. Nevada, Reno; M.
Zayernouri, Comput. Math. Sci. Eng., Michigan State U; A.
Zeleke, Lyman Briggs College, Michigan State U; and Y. Zhang,
Department of Geological Sciences, U. Alabama).
 A unified spectral
method for FPDEs with twosided derivatives; part I: A fast
solver, Journal
of Computational Physics, to appear (with
Mohsen Zayernouri and Mehdi Samiee, Department of Computational
Mathematics, Science and Engineering, Michigan State
University).
 The
fractional advectiondispersion equation for contaminant
transport, Handbook of
Fractional Calculus with Applications, Volume 5:
Applications in Physics, Part B, Chapter 6 (with James F. Kelly,
Department of Statistics and Probability, Michigan State
University).
 Inverse
subordinators
and time fractional equations, Handbook of Fractional Calculus with Applications. Volume
1: Basic Theory, Chapter 17, to appear (with Erkan Nane,
Department of Mathematics and Statistics, Auburn University: and
P. Vellaisamy, Department of Mathematics, Indian Institute of
Technology Bombay).
 Continuous
time
random walks and spacetime fractional differential equations,
Handbook of Fractional
Calculus with Applications. Volume 1: Basic Theory,
Chapter 16 to appear (with HansPeter Scheffler, Fachbereich
Mathematik, University of Siegen, Germany).
 A Unified Spectral
Method for FPDEs with Twosided Derivatives; Part II:
Stability and Error Analysis, Journal of Computational Physics, to appear
(with Mohsen Zayernouri and Mehdi Samiee, Department of
Computational Mathematics, Science and Engineering, Michigan
State University).
 Relaxation
patterns
and semiMarkov dynamics, Stochastic Processes and their Applications,
to appear (with Bruno Toaldo, Department of Statistical
Sciences, Sapienza  University of Rome).
 Particle
tracking, Handbook of
Fractional Calculus with Applications, Volume 3:
Numerical Methods, Chapter 10, to appear (with Yong Zhang,
Department of Geological Sciences, University of Alabama).
 What Is the
Fractional Laplacian? (with Anna Lischke, Guofei Pang,
Mamikon Gulian, Fangying Song, Xiaoning Zheng, Zhiping
Mao, Mark Ainsworth, and George Em Karniadakis, Division of
Applied Mathematics, Brown University; Christian Glusa, Center
for Computing Research, Sandia National Laboratory; and Wei Cai,
Department of Mathematics, Southern Methodist University,
Dallas, TX).
 PetrovGalerkin
Method
for Fully DistributedOrder Fractional Partial Differential
Equations (with Mohsen Zayernouri, Mehdi Samiee, and Ehsan
Kharazmi, Department of Computational Mathematics, Science and
Engineering, Michigan State University).
 Semifractional
diffusion
equations (with Svenja Lage and Peter Kern, Mathematical
Institute, HeinrichHeineUniversity Düsseldorf, Germany).
 SpaceTime Duality and
Fractional Hyperdiffusion (with James F. Kelly,
Department of Statistics and Probability, Michigan State
University).
 The
fractional d'Alembert's formulas (with ChengGang Li,
Department of Mathematics, Southwest Jiaotong University;
Miao Li, Department of Mathematics, Sichuan University; and
Sergey Piskarev, Science Research Computer Center, Lomonosov
Moscow State University).

Boundary Conditions for Tempered Fractional Diffusion
(with Anna Lischke, Division of Applied Mathematics, Brown
University; and James F.
Kelly, Department of Statistics and Probability, Michigan
State University).