Randomly trapped random walks
Probability
2015-10-30 v2
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 . 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.
Cite
@article{arxiv.1302.7227,
title = {Randomly trapped random walks},
author = {Gérard Ben Arous and Manuel Cabezas and Jiří Černý and Roman Royfman},
journal= {arXiv preprint arXiv:1302.7227},
year = {2015}
}
Comments
Published at http://dx.doi.org/10.1214/14-AOP939 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)