Parabolic Anderson Model in a Dynamic Random Environment: Random Conductances

D. Erhard; F. den Hollander; G. Maillard

doi:10.1007/s11040-016-9210-4

Parabolic Anderson Model in a Dynamic Random Environment: Random Conductances

Mathematical Physics Analysis and Geometry ◽

10.1007/s11040-016-9210-4 ◽

2016 ◽

Vol 19 (2) ◽

Cited By ~ 9

Author(s):

D. Erhard ◽

F. den Hollander ◽

G. Maillard

Keyword(s):

Random Environment ◽

Anderson Model ◽

Parabolic Anderson Model ◽

Random Conductances

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The parabolic Anderson model in a dynamic random environment: space-time ergodicity for the quenched Lyapunov exponent

Probability Theory and Related Fields ◽

10.1007/s00440-014-0564-x ◽

2014 ◽

Vol 162 (1-2) ◽

pp. 1-46 ◽

Cited By ~ 10

Author(s):

D. Erhard ◽

F. den Hollander ◽

G. Maillard

Keyword(s):

Lyapunov Exponent ◽

Random Environment ◽

Anderson Model ◽

Space Time ◽

Parabolic Anderson Model

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Quenched invariance principles for the maximal particle in branching random walk in random environment and the parabolic Anderson model

The Annals of Probability ◽

10.1214/19-aop1347 ◽

2020 ◽

Vol 48 (1) ◽

pp. 94-146

Author(s):

Jiří Černý ◽

Alexander Drewitz

Keyword(s):

Random Walk ◽

Random Environment ◽

Anderson Model ◽

Branching Random Walk ◽

Parabolic Anderson Model ◽

Invariance Principles

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The parabolic Anderson model in a dynamic random environment: Basic properties of the quenched Lyapunov exponent

Annales de l Institut Henri Poincaré Probabilités et Statistiques ◽

10.1214/13-aihp558 ◽

2014 ◽

Vol 50 (4) ◽

pp. 1231-1275 ◽

Cited By ~ 3

Author(s):

D. Erhard ◽

F. den Hollander ◽

G. Maillard

Keyword(s):

Lyapunov Exponent ◽

Random Environment ◽

Anderson Model ◽

Parabolic Anderson Model ◽

Basic Properties

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Quenched Lyapunov Exponent for the Parabolic Anderson Model in a Dynamic Random Environment

Probability in Complex Physical Systems - Springer Proceedings in Mathematics ◽

10.1007/978-3-642-23811-6_7 ◽

2011 ◽

pp. 159-193 ◽

Cited By ~ 5

Author(s):

Jürgen Gärtner ◽

Frank den Hollander ◽

Grégory Maillard

Keyword(s):

Lyapunov Exponent ◽

Random Environment ◽

Anderson Model ◽

Parabolic Anderson Model

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A Measure-Valued Process Related to the Parabolic Anderson Model

Seminar on Stochastic Analysis, Random Fields and Applications III ◽

10.1007/978-3-0348-8209-5_15 ◽

2002 ◽

pp. 219-227

Author(s):

C. Mueller ◽

R. Tribe

Keyword(s):

Anderson Model ◽

Parabolic Anderson Model

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Quasilinear generalized parabolic Anderson model equation

Stochastic Partial Differential Equations Analysis and Computations ◽

10.1007/s40072-018-0121-1 ◽

2018 ◽

Vol 7 (1) ◽

pp. 40-63 ◽

Cited By ~ 1

Author(s):

I. Bailleul ◽

A. Debussche ◽

M. Hofmanová

Keyword(s):

Anderson Model ◽

Model Equation ◽

Parabolic Anderson Model

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The Parabolic Anderson Model

Interacting Stochastic Systems ◽

10.1007/3-540-27110-4_8 ◽

2005 ◽

pp. 153-179 ◽

Cited By ~ 21

Author(s):

Jürgen Gärtner ◽

Wolfgang König

Keyword(s):

Anderson Model ◽

Parabolic Anderson Model

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The Parabolic Anderson Model

10.1007/978-3-319-33596-4 ◽

2016 ◽

Cited By ~ 19

Author(s):

Wolfgang König

Keyword(s):

Anderson Model ◽

Parabolic Anderson Model

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A new phase transition in the parabolic Anderson model with partially duplicated potential

Stochastic Processes and their Applications ◽

10.1016/j.spa.2018.12.005 ◽

2019 ◽

Vol 129 (11) ◽

pp. 4704-4746

Author(s):

Stephen Muirhead ◽

Richard Pymar ◽

Nadia Sidorova

Keyword(s):

Phase Transition ◽

Anderson Model ◽

Parabolic Anderson Model ◽

New Phase

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Annealed asymptotics for the parabolic Anderson model with a moving catalyst

Stochastic Processes and their Applications ◽

10.1016/j.spa.2006.04.002 ◽

2006 ◽

Vol 116 (11) ◽

pp. 1511-1529 ◽

Cited By ~ 14

Author(s):

Jürgen Gärtner ◽

Markus Heydenreich

Keyword(s):

Anderson Model ◽

Parabolic Anderson Model

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