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Effective Polynomial Ballisticity Conditions for Random Walk in Random Environment

  • Published:2013-12-20 Issue:12 Volume:67 Page:1947-1973
  • ISSN:0010-3640
  • Container-title:Communications on Pure and Applied Mathematics
  • language:en
  • Short-container-title:Commun. Pur. Appl. Math.

Author:

Berger Noam1,Drewitz Alexander2,Ramírez Alejandro F.3

Affiliation:

1. Einstein Institute of Mathematics Givat Ram The Hebrew University of Jerusalem; Jerusalem 91904 ISRAEL

2. Department of Mathematics; Columbia University; RM 614, MC 4419 2990 Broadway New York NY 10027 USA

3. Facultad de Matemáticas Pontificia Universidad Católica de Chile Vicuña Mackenna; 4860 Macul Santiago CHILE

Publisher

Wiley

Subject

Applied Mathematics,General Mathematics

Reference18 articles.

1. Slowdown estimates for ballistic random walk in random environment;Berger;J. Eur. Math. Soc. (JEMS),2012

2. Random walks in asymmetric random environments;Bricmont;Comm. Math. Phys.,1991

3. Replication of a multicomponent chain by the “lightning mechanism.”;Chernov;Biophysics,1967

4. Ballisticity conditions for random walk in random environment;Drewitz;Probab. Theory Related Fields,2011

5. Quenched exit estimates and ballisticity conditions for higher-dimensional random walk in random environment;Drewitz;Ann. Probab.,2012

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1. Limit theorem for sub-ballistic Random Walks in Dirichlet Environment in dimension d≥3;Electronic Journal of Probability;2024-01-01

2. Dynamical random walk on the integers with a drift;Annales de l'Institut Henri Poincaré, Probabilités et Statistiques;2023-08-01

3. Polynomial ballisticity conditions and invariance principle for random walks in strong mixing environments;Probability Theory and Related Fields;2022-01-20

4. Computable criteria for ballisticity of random walks in elliptic random environment;Electronic Journal of Probability;2022-01-01

5. Ballistic random walks in random environment as rough paths: convergence and area anomaly;Latin American Journal of Probability and Mathematical Statistics;2021
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