# Randomly trapped random walks

Source: [Randomly trapped random walks](<https://www.sota2.com/research/paper/68fa52511e209131ce97a3b1>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T11:50:05.244Z

Authors: G\\'erard Ben Arous, Manuel Cabezas, Ji\\v{r}\\'i \\v{C}ern\\'y, Roman Royfman

Published: 2013-02-28T15:12:29.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1302.7227>)

[PDF](<https://arxiv.org/pdf/1302.7227.pdf>)