A shape theorem and a variational formula for the quenched Lyapunov exponent of random walk in a random potential-Reference-Cited by-同舟云学术

A shape theorem and a variational formula for the quenched Lyapunov exponent of random walk in a random potential

Published:2022-05-01 Issue:2 Volume:58 Page:
ISSN:0246-0203
Container-title:Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
language:
Short-container-title:Ann. Inst. H. Poincaré Probab. Statist.

Author:

Janjigian Christopher¹,Nurbavliyev Sergazy²,Rassoul-Agha Firas²

Affiliation:

1. Department of Mathematics, Purdue University, 150 N University St, West Lafayette, IN 47907, USA

2. Department of Mathematics, University of Utah, 155 S 1400 E, Salt Lake City, UT 84112, USA

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference54 articles.

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2. M. Balázs, F. Rassoul-Agha and T. Seppäläinen. Large deviations and wandering exponent for random walk in a dynamic beta environment. Ann. Probab. 47 (4) (2019) 2186–2229.

3. E. Bates. Localization of directed polymers with general reference walk. Electron. J. Probab. 23 (2018) 30.

4. E. Bates Empirical distributions, geodesic lengths, and a variational formula in first-passage percolation, 2020. Preprint. Available at 2006.12580.

5. N. Berger, C. Mukherjee and K. Okamura. Quenched large deviations for simple random walks on percolation clusters including long-range correlations. Comm. Math. Phys. 358 (2) (2018) 633–673.

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