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RABINDRA BHATTACHARYA
UNCERTAINTY QUANTIFICATION GROUP
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I am trained in statistics.
My current research interest includes
shape analysis in medical imaging
and biology (morphometrics).
In addition to my research and teaching I am on the executive committee
of the
Interdisciplinary Program in Statistics, at The University of Arizona
.
Research Interests
Probability
Asymptotic behavior of Markov processes;
stochastic differential equations;
central limit theorems and multiscale homogenization of
linear second order PDEs;
probablistic approach to certain classes of nonlinear
PDE's, such as the incompressible Navier-Stokes equations.
Statistics
Large sample theory; Edgeworth expansions and bootstrapping;
statistics on shape spaces and other manifolds.
Economics
Applications of probability to economics:
stability of random dynamical systems arising in economics;
growth under uncertainity.
Books
Random Dynamical Systems (with M. Majumdar).
Cambridge University Press. (2007).
A Basic Course in Probability Theory (with E. C. Waymire).
Springer. (2007)
Theory and Applications of Stochastic Processes (with E.C.Waymire).
Springer, Graduate Text in Mathematics. To appear.
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