%0 Journal Article
%T Small time asymptotics of diffusion processes
%A A. F. M. ter Elst
%A Derek W. Robinson
%A Adam Sikora
%J Mathematics
%D 2006
%I arXiv
%X We establish the short-time asymptotic behaviour of the Markovian semigroups associated with strongly local Dirichlet forms under very general hypotheses. Our results apply to a wide class of strongly elliptic, subelliptic and degenerate elliptic operators. In the degenerate case the asymptotics incorporate possible non-ergodicity.
%U http://arxiv.org/abs/math/0601350v1