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Scaling limit of the local time of the Sinai's random walk

We prove that the local times of a sequence of Sinai's random walks convergence to those of Brox's diffusion by proper scaling, which is accord with the result of Seignourel (2000). Our proof is based on the convergence of the branching processes in random environment by Kurtz (1979).

preprint2014arXivOpen access
Wenming HongHui YangKe Zhou
math.PR
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Open access3 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Wenming HongHui YangKe Zhou

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