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arXiv · 1302.7227

Randomly trapped random walks

Gérard Ben Arous·Manuel Cabezas·Jiří Černý·Roman Royfman
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Abstract

We introduce a general model of trapping for random walks on graphs. We give the possible scaling limits of these Randomly Trapped Random Walks on $\mathbb {Z}$. These scaling limits include the well-known fractional kinetics process, the Fontes-Isopi-Newman singular diffusion as well as a new broad class we call spatially subordinated Brownian motions. We give sufficient conditions for convergence and illustrate these on two important examples.

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Gérard Ben Arous, Manuel Cabezas, Jiří Černý, Roman Royfman. 2015-10-29. Randomly trapped random walks. https://doi.org/10.1214/14-aop939

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