Michael Cranston.html

University of California, Irvine

Department of Mathematics

Professor Michael Cranston
Mathematics

540B RH &
Irvine, CA 92697-3875
(949) 824-5507
(949) 824-7993 Fax
mcransto@math.uci.edu

Office Hours Spring 2011: T 12:00-12:50, Th 1:00-1:50


PUBLICATIONS	CURRICULUM VITAE	RESEARCH AREA

Seminar on Stochastic Processes	GRADUATE WEB PAGE	MATH LINKS
ANNALS OF PROBABILITY	ELECTRONIC JOURNAL OF PROBABILITY	FSM

*****RECENT PAPERS*****

A solvable model for homopolymers and self-similarity near the critical point, with L. Koralov, S. Molchanov, B. Vainberg, ROSE, 2010.pdf
Hoomo- and hetero-polymers in the mean field approximation, with O. Hryniv, S. Molchanov,MPRF 2009,
A central limit theorem for isotropic flows, with Y. Le Jan, SPA, 2009
Lyapunov exponent for the parabolic Anderson model in R^d, with T. Mountford, JFA, 2006.
Limit laws for sums of exponentials of iid random variables, with S. Molchanov, Israel Journal of Math,2005 .
Parabolic Anderson model with Levy noise, with T. Mountford and T. Shiga, PTRF, 2005.
Quenched to annealed transition for the parabolic Anderson model with S. Molchanov, PTRF, 2007.
‘Dispersion rates under finite mode Kolmogorov flows’ with Scheutzow, Michael, AAP, 2002.
On phase transitions and limit theorems for homopolymers with S. Molchanov, CRM Lecture Notes, 42,2007.
On large deviations for solutions of the parabolic Anderson model, with D. Gauthier, T. S. Mountford, PTRF 2009.
On large deviation regimes for random media models, with D. Gauthier, T. Mountford, AAP, 2009.
Continuous models for homopolymers, with L. Koralov, S. MOlchanov, B. Vainberg, JFA, 2009. .

Return to Mathematics ->