Backbone scaling limits for random walks on random critical trees

Gérard Ben Arous; Manuel Cabezas; Alexander Fribergh

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arXiv · 1705.05883

Backbone scaling limits for random walks on random critical trees

Gérard Ben Arous·Manuel Cabezas·Alexander Fribergh

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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

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Gérard Ben Arous, Manuel Cabezas, Alexander Fribergh. 2017-05-16. Backbone scaling limits for random walks on random critical trees. https://arxiv.org/abs/1705.05883

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