Randomly trapped random walks

• Ben Arous, Gérard ^[1] ; Cabezas, Manuel ^[3] ; Černý, Jiří ^[2] ; Royfman, Roman ^[1]
  1. [1] New York University

     New York University

     Estados Unidos

     
  2. [2] University of Vienna

     University of Vienna

     Innere Stadt, Austria

     
  3. [3] Instituto de matemática Pura e Aplicada (Brasil)

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• Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 43, Nº. 5, 2015, págs. 2405-2457
• Idioma: inglés
• DOI: 10.1214/14-AOP939
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• Resumen

  • 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.