Spatial averages for the parabolic Anderson model driven by rough noise

David Nualart; Xiaoming Song; Guangqu Zheng

doi:10.30757/alea.v18-33

Spatial averages for the parabolic Anderson model driven by rough noise

Latin American Journal of Probability and Mathematical Statistics ◽

10.30757/alea.v18-33 ◽

2021 ◽

Vol 18 (1) ◽

pp. 907

Author(s):

David Nualart ◽

Xiaoming Song ◽

Guangqu Zheng

Keyword(s):

Anderson Model ◽

Parabolic Anderson Model ◽

Model Driven

Large time asymptotics for the parabolic Anderson model driven by space and time correlated noise

Stochastic Partial Differential Equations Analysis and Computations ◽

10.1007/s40072-017-0099-0 ◽

2017 ◽

Vol 5 (4) ◽

pp. 614-651 ◽

Cited By ~ 1

Author(s):

Jingyu Huang ◽

Khoa Lê ◽

David Nualart

Keyword(s):

Anderson Model ◽

Large Time ◽

Correlated Noise ◽

Parabolic Anderson Model ◽

Large Time Asymptotics ◽

Model Driven ◽

Space And Time ◽

Time Asymptotics

Feynman–Kac representation for the parabolic Anderson model driven by fractional noise

Journal of Functional Analysis ◽

10.1016/j.jfa.2015.06.003 ◽

2015 ◽

Vol 269 (5) ◽

pp. 1234-1263 ◽

Cited By ~ 4

Author(s):

Kamran Kalbasi ◽

Thomas S. Mountford

Keyword(s):

Anderson Model ◽

Parabolic Anderson Model ◽

Model Driven ◽

Fractional Noise

Large time asymptotics for the parabolic Anderson model driven by spatially correlated noise

Annales de l Institut Henri Poincaré Probabilités et Statistiques ◽

10.1214/16-aihp756 ◽

2017 ◽

Vol 53 (3) ◽

pp. 1305-1340 ◽

Cited By ~ 3

Author(s):

Jingyu Huang ◽

Khoa Lê ◽

David Nualart

Keyword(s):

Anderson Model ◽

Large Time ◽

Correlated Noise ◽

Parabolic Anderson Model ◽

Large Time Asymptotics ◽

Model Driven ◽

Spatially Correlated ◽

Time Asymptotics ◽

Spatially Correlated Noise

Spatial asymptotics for the parabolic Anderson model driven by a Gaussian rough noise

Electronic Journal of Probability ◽

10.1214/17-ejp83 ◽

2017 ◽

Vol 22 (0) ◽

Cited By ~ 2

Author(s):

Xia Chen ◽

Yaozhong Hu ◽

David Nualart ◽

Samy Tindel

Keyword(s):

Anderson Model ◽

Parabolic Anderson Model ◽

Model Driven

An ergodic theorem of a parabolic Anderson model driven by Lévy noise

Frontiers of Mathematics in China ◽

10.1007/s11464-011-0124-y ◽

2011 ◽

Vol 6 (6) ◽

pp. 1147-1183

Author(s):

Yong Liu ◽

Jianglun Wu ◽

Fengxia Yang ◽

Jianliang Zhai

Keyword(s):

Ergodic Theorem ◽

Anderson Model ◽

Lévy Noise ◽

Parabolic Anderson Model ◽

Model Driven ◽

Levy Noise

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

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

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

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

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