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arXiv · 1611.02954

An integrated version of Varadhan's asymptotics for lower-order perturbations of strong local Dirichlet forms

Masanori Hino·Kouhei Matsuura
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Abstract

The studies of Ramírez, Hino-Ramírez, and Ariyoshi-Hino showed that an integrated version of Varadhan's asymptotics holds for Markovian semigroups associated with arbitrary strong local symmetric Dirichlet forms. In this paper, we consider non-symmetric bilinear forms that are the sum of strong local symmetric Dirichlet forms and lower-order perturbed terms. We give sufficient conditions for the associated semigroups to have asymptotics of the same type.

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Masanori Hino, Kouhei Matsuura. 2016-11-09. An integrated version of Varadhan's asymptotics for lower-order perturbations of strong local Dirichlet forms. https://doi.org/10.1007/s11118-017-9634-x

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