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Symmetric exclusion as a random environment: invariance principle. (arXiv:1807.05414v1 [math.PR])
来源于:arXiv
We establish an invariance principle for a one-dimensional random walk in a
dynamical random environment given by a speed-change exclusion process. The
jump probabilities of the walk depend on the configuration of the exclusion in
a finite box around the walker. The environment starts from equilibrium. After
a suitable space-time rescaling, the random walk converges to a sum of two
independent processes, a Brownian motion and a Gaussian process with stationary
increments. 查看全文>>