Weak and almost sure limits for the parabolic Anderson model with heavy tailed potentials

Remco van der Hofstad; Peter Mörters; Nadia Sidorova

doi:10.1214/08-aap526

Weak and almost sure limits for the parabolic Anderson model with heavy tailed potentials

The Annals of Applied Probability ◽

10.1214/08-aap526 ◽

2008 ◽

Vol 18 (6) ◽

pp. 2450-2494 ◽

Cited By ~ 12

Author(s):

Remco van der Hofstad ◽

Peter Mörters ◽

Nadia Sidorova

Keyword(s):

Anderson Model ◽

Parabolic Anderson Model ◽

Heavy Tailed

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The discrete-time parabolic Anderson model with heavy-tailed potential

Annales de l Institut Henri Poincaré Probabilités et Statistiques ◽

10.1214/11-aihp465 ◽

2012 ◽

Vol 48 (4) ◽

pp. 1049-1080

Author(s):

Francesco Caravenna ◽

Philippe Carmona ◽

Nicolas Pétrélis

Keyword(s):

Discrete Time ◽

Anderson Model ◽

Parabolic Anderson Model ◽

Heavy Tailed

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The parabolic Anderson model with heavy-tailed potential

Surveys in Stochastic Processes ◽

10.4171/072-1/4 ◽

2011 ◽

pp. 67-85 ◽

Cited By ~ 6

Author(s):

Peter Mörters

Keyword(s):

Anderson Model ◽

Parabolic Anderson Model ◽

Heavy Tailed

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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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Parabolic Anderson Model with Space-Time Homogeneous Gaussian Noise and Rough Initial Condition

Journal of Theoretical Probability ◽

10.1007/s10959-017-0772-2 ◽

2017 ◽

Vol 31 (4) ◽

pp. 2216-2265 ◽

Cited By ~ 3

Author(s):

Raluca M. Balan ◽

Le Chen

Keyword(s):

Anderson Model ◽

Gaussian Noise ◽

Space Time ◽

Initial Condition ◽

Parabolic Anderson Model

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Potential confinement property of the parabolic Anderson model

Annales de l Institut Henri Poincaré Probabilités et Statistiques ◽

10.1214/08-aihp197 ◽

2009 ◽

Vol 45 (3) ◽

pp. 840-863 ◽

Cited By ~ 9

Author(s):

Gabriela Grüninger ◽

Wolfgang König

Keyword(s):

Anderson Model ◽

Parabolic Anderson Model

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