Small time asymptotics of diffusion processes
classification
🧮 math.AP
keywords
asymptoticsdegenerateellipticstronglyapplyassociatedasymptoticbehaviour
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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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