**Date & Time:** Monday, April 21, 2014, 18:15-18:45

**Venue:** IRCC Conference Room II, SOM-IRCC Building

**Title:** A nonlinear Donsker-Varadhan variational formula

**Speaker:** K. Sureshkumar, IIT Bombay

**Abstract:**In the first part of the talk we discuss Donsker-Varadhan type variational
characterization of a non linear eigen value problem. We use an extension of Collatz-Weilandt
formula for the proof. This is joint work with Ari Arapostathis and V. S. Borkar.

In the second part, we present a selection procedure for solutions of degenerate stochastic differential equations using small noise limit theory. This is a joint work with V. S. Borkar.