Extending the Wong-Zakai theorem to reversible Markov processes

We show how to construct a canonical choice of stochastic area for paths of reversible Markov processes satisfying a weak Holder condition, and hence demonstrate that the sample paths of such processes are rough paths in the sense of Lyons. We further prove that certain polygonal approximations to t...

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Bibliographic Details
Main Authors: Bass, R, Hambly, B, Lyons, T
Format: Journal article
Language:English
Published: 2002