Frontiers of Mathematics in China >
Scaling limit of local time of Sinai’s random walk
Received date: 24 Nov 2014
Accepted date: 27 Apr 2015
Published date: 12 Oct 2015
Copyright
We prove that the local times of a sequence of Sinai’s random walks converge to those of Brox’s diffusion by proper scaling. Our proof is based on the intrinsic branching structure of the random walk and the convergence of the branching processes in random environment.
Wenming HONG , Hui YANG , Ke ZHOU . Scaling limit of local time of Sinai’s random walk[J]. Frontiers of Mathematics in China, 2015 , 10(6) : 1313 -1324 . DOI: 10.1007/s11464-015-0485-8
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