2013/02/28 by Gérard Ben Arous, Manuel Cabezas, Jiří Černý +1 · 18 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Brownian motion #Class (philosophy) #Convergence (economics) #Diffusion #Diffusion and Search Dynamics #Heterogeneous random walk in one dimension #Random walk #Scaling #Scaling limit #Stochastic processes and statistical mechanics #Trapping #math.PR #stochastic dynamics and bifurcation
paper · pdf · doi:10.1214/14-aop939
published in The Annals of Probability 43(5) (Institute of Mathematical Statistics) · 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)
openalex publication_date 2015/09/01 · arxiv created 2015/10/29 · arxiv updated 2015/10/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 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.