Summary
We study an invariance principle for additive functionals of nonsymmetric Markov processes with singular mean forward velocities. We generalize results of Kipnis and Varadhan [KV] and De Masi et al. [De] in two directions: Markov processes are non-symmetric, and mean forward velocities are distributions. We study continuous time Markov processes. We use our result to homogenize non-symmetric reflecting diffusions in random domains.
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Osada, H., Saitoh, T. An invariance principle for non-symmetric Markov processes and reflecting diffusions in random domains. Probab. Th. Rel. Fields 101, 45–63 (1995). https://doi.org/10.1007/BF01192195
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DOI: https://doi.org/10.1007/BF01192195