RANDOM PERTURBATIONS OF SYSTEMS WITH CONSERVATION LAWS
Department of Mathematics
Tulane University, New Orleans
This is a joint work with Mark Freidlin, University of Maryland, College Park.
If all fast-motion surfaces are just tori, it leads to a diffusion in an l-dimensional region, whose characteristics are found by averaging; if some of them have singular points, the arising space Y is a graph in the case of l = 1 (see Number 523 of Memoirs of AMS), and some structure consisting of pieces of smooth l-dimensional pieces in the case of l > 1 (in which case it is not absolutely clear yet how to describe diffusions on Y).
D.Dawson (Fields Institute)
N.Reid (University of Toronto)
V.Vinogradov (University of Toronto & UNBC)