156 citations
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Showing math.PRShow all
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math.PR2004★ 86 cited
An almost sure invariance principle for random walks in a space-time random environment
F. Rassoul-Agha, T. Seppalainen
We consider a discrete time random walk in a space-time i.i.d. random environment. We use a martingale approach to show that the walk is diffusive in almost every fixed environment…
math.PR2004★ 2 cited
Continuous Time Markov Processes on Graphs
Jianjun Tian, Xiao-Song Lin
We study continuous time Markov processes on graphs. The notion of frequency is introduced, which serves well as a scaling factor between any Markov time of a continuous time Marko…
math.PR2004
Where did the Brownian particle go?
Robin Pemantle, Yuval Peres, Jim Pitman +1
Consider the radial projection onto the unit sphere of the path a d-dimensional Brownian motion W, started at the center of the sphere and run for unit time. Given the occupation m…