Convergence of Martingale and Moderate Deviations for a Branching Random Walk with a Random Environment in Time

Journal of Theoretical Probability ◽

10.1007/s10959-016-0668-6 ◽

2016 ◽

Vol 30 (3) ◽

pp. 961-995 ◽

Author(s):

Xiaoqiang Wang ◽

Chunmao Huang

Keyword(s):

Random Walk ◽

Random Environment ◽

Moderate Deviations ◽

Branching Random Walk

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Large and moderate deviations for a -valued branching random walk with a random environment in time

Stochastics ◽

10.1080/17442508.2019.1679145 ◽

2019 ◽

Vol 92 (6) ◽

pp. 944-968

Author(s):

Chunmao Huang ◽

Xin Wang ◽

Xiaoqiang Wang

Keyword(s):

Random Walk ◽

Random Environment ◽

Moderate Deviations ◽

Branching Random Walk

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Limit law for transition probabilities and moderate deviations for Sinai's random walk in random environment

Probability Theory and Related Fields ◽

10.1007/s00440-003-0273-3 ◽

2003 ◽

Vol 126 (4) ◽

pp. 571-609 ◽

Author(s):

Francis Comets ◽

Serguei Popov

Keyword(s):

Random Walk ◽

Random Environment ◽

Transition Probabilities ◽

Moderate Deviations

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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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Central limit theorems for a branching random walk with a random environment in time

Acta Mathematica Scientia ◽

10.1016/s0252-9602(14)60023-0 ◽

2014 ◽

Vol 34 (2) ◽

pp. 501-512 ◽

Author(s):

Zhiqiang GAO ◽

Quansheng LIU ◽

Hesong WANG

Keyword(s):

Random Walk ◽

Central Limit ◽

Random Environment ◽

Limit Theorems ◽

Central Limit Theorems ◽

Branching Random Walk

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A Variational Approach to Branching Random Walk in Random Environment

The Annals of Probability ◽

10.1214/aop/1176989405 ◽

1993 ◽

Vol 21 (1) ◽

pp. 290-317 ◽

Author(s):

J.-B. Baillon ◽

Ph. Clement ◽

A. Greven ◽

F. Den Hollander

Keyword(s):

Random Walk ◽

Random Environment ◽

Variational Approach ◽

Branching Random Walk

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Critical branching random walk in a random environment

Advanced Series on Statistical Science & Applied Probability - Spatial Branching in Random Environments and with Interaction ◽

10.1142/9789814569842_0007 ◽

2014 ◽

pp. 235-253

Keyword(s):

Random Walk ◽

Random Environment ◽

Branching Random Walk ◽

Critical Branching Random Walk

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The critical branching random walk in a random environment dies out

Electronic Communications in Probability ◽

10.1214/ecp.v18-2438 ◽

2013 ◽

Vol 18 (0) ◽

Author(s):

Olivier Garet ◽

Régine Marchand

Keyword(s):

Random Walk ◽

Random Environment ◽

Branching Random Walk ◽

Critical Branching Random Walk

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Maximal displacement of a supercritical branching random walk in a time-inhomogeneous random environment

Stochastic Processes and their Applications ◽

10.1016/j.spa.2018.09.008 ◽

2019 ◽

Vol 129 (9) ◽

pp. 3239-3260 ◽

Author(s):

Bastien Mallein ◽

Piotr Miłoś

Keyword(s):

Random Walk ◽

Random Environment ◽

Branching Random Walk ◽

Maximal Displacement

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Convergence of complex martingale for a branching random walk in a time random environment

Electronic Communications in Probability ◽

10.1214/19-ecp247 ◽

2019 ◽

Vol 24 (0) ◽

Author(s):

Xiaoqiang Wang ◽

Chunmao Huang

Keyword(s):

Random Walk ◽

Random Environment ◽

Branching Random Walk

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A note on quenched moderate deviations for Sinai's random walk in random environment

ESAIM Probability and Statistics ◽

10.1051/ps:2004001 ◽

2004 ◽

Vol 8 ◽

pp. 56-65 ◽

Author(s):

Francis Comets ◽

Serguei Popov

Keyword(s):

Random Walk ◽

Random Environment ◽

Moderate Deviations

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