Backbone scaling limits for random walks on random critical trees
Probability
2021-10-18 v2
Abstract
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
Cite
@article{arxiv.1705.05883,
title = {Backbone scaling limits for random walks on random critical trees},
author = {Gérard Ben Arous and Manuel Cabezas and Alexander Fribergh},
journal= {arXiv preprint arXiv:1705.05883},
year = {2021}
}
Comments
47 pages