Spatial Stationarity, Ergodicity, and CLT for Parabolic Anderson Model with Delta Initial Condition in Dimension $d\geq 1$

SIAM Journal on Mathematical Analysis ◽

10.1137/20m1350418 ◽

2021 ◽

Vol 53 (2) ◽

pp. 2084-2133

Author(s):

Davar Khoshnevisan ◽

David Nualart ◽

Fei Pu

Keyword(s):

Anderson Model ◽

Initial Condition ◽

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 ◽

Author(s):

Raluca M. Balan ◽

Le Chen

Keyword(s):

Anderson Model ◽

Gaussian Noise ◽

Initial Condition ◽

Parabolic Anderson Model

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Spatial ergodicity and central limit theorems for parabolic Anderson model with delta initial condition

Journal of Functional Analysis ◽

10.1016/j.jfa.2021.109290 ◽

2021 ◽

pp. 109290

Author(s):

Le Chen ◽

Davar Khoshnevisan ◽

David Nualart ◽

Fei Pu

Keyword(s):

Central Limit ◽

Anderson Model ◽

Limit Theorems ◽

Central Limit Theorems ◽

Initial Condition ◽

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 ◽

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 ◽

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 ◽

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 ◽

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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 ◽

Author(s):

Jürgen Gärtner ◽

Markus Heydenreich

Keyword(s):

Anderson Model ◽

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 ◽

Author(s):

Gabriela Grüninger ◽

Wolfgang König

Keyword(s):

Anderson Model ◽

Parabolic Anderson Model

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Moment asymptotics for the continuous parabolic Anderson model

The Annals of Applied Probability ◽

10.1214/aoap/1019737669 ◽

2000 ◽

Vol 10 (1) ◽

pp. 192-217 ◽

Author(s):

Jürgen Gärtner ◽

Wolfgang König

Keyword(s):

Anderson Model ◽

Parabolic Anderson Model

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