The two principal investigators will continue work in the area of stochastic differential geometry. Professor Pinsky will consider three problems: independence of exit time and exit position from small geodesic balls in Riemannian manifolds; stochastic stability of linear stochastic differential equations; spectral asymptotics on manifolds of negative curvature. Professor Hsu will consider the behavior of the heat kernel for small times. The work that these two investigators conduct is at the interface of Probability and Geometric Analysis, where the tools from one area can be used to answer questions in the other.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Application #
8905448
Program Officer
Keith Crank
Project Start
Project End
Budget Start
1989-06-15
Budget End
1992-05-31
Support Year
Fiscal Year
1989
Total Cost
$144,379
Indirect Cost
Name
Northwestern University at Chicago
Department
Type
DUNS #
City
Evanston
State
IL
Country
United States
Zip Code
60201