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Small time asymptotics of diffusion processes

A. F. M. ter Elst·Derek W. Robinson·Adam Sikora
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Abstract

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.

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A. F. M. ter Elst, Derek W. Robinson, Adam Sikora. 2006-01-14. Small time asymptotics of diffusion processes. https://arxiv.org/abs/math/0601350

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