Quenched Invariance Principles for Random Walks with Random Conductances

Journal of Statistical Physics ◽

10.1007/s10955-007-9465-z ◽

2007 ◽

Vol 130 (5) ◽

pp. 1025-1046 ◽

Author(s):

P. Mathieu

Keyword(s):

Random Walks ◽

Invariance Principles ◽

Random Conductances

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Random walks and exclusion processes among random conductances on random infinite clusters: homogenization and hydrodynamic limit

Electronic Journal of Probability ◽

10.1214/ejp.v13-591 ◽

2008 ◽

Vol 13 (0) ◽

pp. 2217-2247 ◽

Author(s):

Alessandra Faggionato

Keyword(s):

Random Walks ◽

Hydrodynamic Limit ◽

Exclusion Processes ◽

Infinite Clusters ◽

Random Conductances

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Random walks with unbounded jumps among random conductances I: Uniform quenched CLT

Electronic Journal of Probability ◽

10.1214/ejp.v17-1826 ◽

2012 ◽

Vol 17 (0) ◽

Author(s):

Christophe Gallesco ◽

Serguei Popov

Keyword(s):

Random Walks ◽

Random Conductances

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Invariance principles for local times at the maximum of random walks and Lévy processes

The Annals of Probability ◽

10.1214/09-aop512 ◽

2010 ◽

Vol 38 (4) ◽

pp. 1368-1389 ◽

Author(s):

L. Chaumont ◽

R. A. Doney

Keyword(s):

Random Walks ◽

Lévy Processes ◽

Levy Processes ◽

Local Times ◽

Invariance Principles

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Invariance principles for random walks in random environment on trees

Electronic Journal of Probability ◽

10.1214/21-ejp687 ◽

2021 ◽

Vol 26 (none) ◽

Author(s):

George Andriopoulos

Keyword(s):

Random Walks ◽

Random Environment ◽

Invariance Principles

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Discrete fractal dimensions of the ranges of random walks in $${{\mathbb Z}^d}$$ associate with random conductances

Probability Theory and Related Fields ◽

10.1007/s00440-012-0418-3 ◽

2012 ◽

Vol 156 (1-2) ◽

pp. 1-26 ◽

Author(s):

Yimin Xiao ◽

Xinghua Zheng

Keyword(s):

Random Walks ◽

Fractal Dimensions ◽

Random Conductances

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On symmetric random walks with random conductances on ℤd

Probability Theory and Related Fields ◽

10.1007/s00440-005-0448-1 ◽

2005 ◽

Vol 134 (4) ◽

pp. 565-602 ◽

Author(s):

L.R.G. Fontes ◽

P. Mathieu

Keyword(s):

Random Walks ◽

Random Conductances

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Scaling limits for sub-ballistic biased random walks in random conductances

The Annals of Probability ◽

10.1214/16-aop1159 ◽

2018 ◽

Vol 46 (2) ◽

pp. 605-686 ◽

Author(s):

Alexander Fribergh ◽

Daniel Kious

Keyword(s):

Random Walks ◽

Scaling Limits ◽

Random Conductances ◽

Biased Random Walks

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Invariance principles for random walks on hypergroups on ℝ2 and ℕ

Journal of Theoretical Probability ◽

10.1007/bf02214269 ◽

1994 ◽

Vol 7 (2) ◽

pp. 225-245 ◽

Author(s):

Hansmartin Zeuner

Keyword(s):

Random Walks ◽

Invariance Principles

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On the speed and spectrum of mean-field random walks among random conductances

Stochastic Processes and their Applications ◽

10.1016/j.spa.2019.10.001 ◽

2020 ◽

Vol 130 (6) ◽

pp. 3477-3498

Author(s):

Andrea Collevecchio ◽

Paul Jung

Keyword(s):

Random Walks ◽

Random Conductances

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Rates of convergence in invariance principles for random walks on linear groups via martingale methods

Transactions of the American Mathematical Society ◽

10.1090/tran/8252 ◽

2020 ◽

Vol 374 (1) ◽

pp. 137-174

Author(s):

C. Cuny ◽

J. Dedecker ◽

F. Merlevède

Keyword(s):

Random Walks ◽

Rates Of Convergence ◽

Linear Groups ◽

Invariance Principles ◽

Martingale Methods

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