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Large deviation for additive functionals of symmetric Markov processes

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In this paper, we establish a large deviation principle for pairs of continuous and purely discontinuous additive functionals of symmetric Borel right processes on Lusin spaces. We also establish compact… Click to show full abstract

In this paper, we establish a large deviation principle for pairs of continuous and purely discontinuous additive functionals of symmetric Borel right processes on Lusin spaces. We also establish compact embedding results for the extended Dirichlet spaces of symmetric Markov processes that possess Green potential kernels.

Keywords: large deviation; additive functionals; functionals symmetric; markov processes; symmetric markov

Journal Title: Transactions of the American Mathematical Society
Year Published: 2020

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