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Small time asymptotics of diffusion processes

ter Elst, A F M; Robinson, Derek; Sikora, Adam


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.

CollectionsANU Research Publications
Date published: 2007
Type: Journal article
Source: Journal of Evolution Equations
DOI: 10.1007/s00028-006-0247-x


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