Title: Large-time asymptotics of nonsmooth multiplicative functionals 
of ergodic diffusions.

Abstract: We consider a class of Hamilton-Jacobi-Bellman equations, 
related to large-time asymptotics of nonsmooth multiplicative 
functionals of ergodic diffusions processes. Via a cluster expansion we 
show existence of these asymptotics, and that they solve the related 
Hamilton-Jacobi-Bellman equation in the viscosity sense.
This is a joint work with P. Cattiaux and S. Roelly