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Scaling limits for random walks on random critical trees. (arXiv:1705.05883v1 [math.PR])

来源于:arXiv
We prove the existence of scaling limits for the projection on the backbone of the random walks on the Incipient Infinite Cluster and the Invasion Percolation Cluster on a regular tree. We treat these projected random walks as randomly trapped random walks (as defined in [BC\v{C}R15]) and thus describe these scaling limits as spatially subordinated Brownian motions 查看全文>>