2 papers
math.PR2014
Scaling limit theorems for the -transient random walk in random and non-random environment
Wenming Hong, Hui Yang
Kesten et al.( 1975) proved the stable law for the transient RWRE (here we refer it as the -transient RWRE). After that, some similar interesting properties have also been revea…
math.PR2014
Scaling limit of the local time of the Sinai's random walk
Wenming Hong, Hui Yang, Ke Zhou
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)…