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.
 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, to appear (with James F. Kelly,
Department of Statistics and Probability, Michigan State University).
 Inverse
subordinators and time fractional equations, Handbook of Fractional Calculus with
Applications, 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, to appear (with HansPeter Scheffler, Fachbereich
Mathematik, University of
Siegen, Germany).
 Spacetime
fractional Dirichlet problems, Mathematische
Nachrichten, to appear (with Boris Baeumer, Department of
Mathematics and Statistics, University of Otago, Dunedin, New Zealand;
and Tomasz Luks, Institut für Mathematik, Universität
Paderborn, 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, to appear (with
Yong Zhang, Department of Geological Sciences, University of Alabama).
 Parameter
estimation for ARTFIMA time series,
Journal of Statistical Planning and Inference, to appear
(with A. Ian McLeod, Department
of Statistical and Actuarial Sciences, University of Western Ontario;
and Farzad Sabzikar, Department of Statistics, Iowa State University).
 Boundary
conditions for twosided fractional diffusion,
Journal of Computational Physics, to appear (with James F. Kelly, Department of
Statistics and Probability, Michigan State University; and Harish
Sankaranarayanan, Department of Statistics and Probability, Michigan
State University).
 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).