Anomalous heat-kernel decay for random walk among bounded random conductances

Annales de l Institut Henri Poincaré Probabilités et Statistiques ◽

10.1214/07-aihp126 ◽

2008 ◽

Vol 44 (2) ◽

pp. 374-392 ◽

Author(s):

N. Berger ◽

M. Biskup ◽

C. E. Hoffman ◽

G. Kozma

Keyword(s):

Random Walk ◽

Heat Kernel ◽

Heat Kernel Decay ◽

Random Conductances ◽

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Heat-kernel estimates for random walk among random conductances with heavy tail

Stochastic Processes and their Applications ◽

10.1016/j.spa.2009.11.001 ◽

2010 ◽

Vol 120 (2) ◽

pp. 182-194 ◽

Author(s):

Omar Boukhadra

Keyword(s):

Random Walk ◽

Heat Kernel ◽

Kernel Estimates ◽

Heat Kernel Estimates ◽

Random Conductances

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Subdiffusive heat-kernel decay in four-dimensional i.i.d. random conductance models

Journal of the London Mathematical Society ◽

10.1112/jlms/jds012 ◽

2012 ◽

Vol 86 (2) ◽

pp. 455-481 ◽

Author(s):

M. Biskup ◽

O. Boukhadra

Keyword(s):

Heat Kernel ◽

Heat Kernel Decay ◽

Random Conductance

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Heat kernel for random walk trace on ℤ 3 and ℤ 4

Annales de l Institut Henri Poincaré Probabilités et Statistiques ◽

10.1214/09-aihp337 ◽

2010 ◽

Vol 46 (4) ◽

pp. 1001-1024 ◽

Author(s):

Daisuke Shiraishi

Keyword(s):

Random Walk ◽

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Biased random walk in positive random conductances on $\mathbb{Z}^{d}$

The Annals of Probability ◽

10.1214/13-aop835 ◽

2013 ◽

Vol 41 (6) ◽

pp. 3910-3972 ◽

Author(s):

Alexander Fribergh

Keyword(s):

Random Walk ◽

Biased Random Walk ◽

Random Conductances

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Simple random walk on long range percolation clusters I: heat kernel bounds

Probability Theory and Related Fields ◽

10.1007/s00440-011-0383-2 ◽

2011 ◽

Vol 154 (3-4) ◽

pp. 753-786 ◽

Author(s):

Nicholas Crawford ◽

Allan Sly

Keyword(s):

Random Walk ◽

Heat Kernel ◽

Simple Random Walk ◽

Percolation Clusters ◽

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Functional CLT for Random Walk Among Bounded Random Conductances

Electronic Journal of Probability ◽

10.1214/ejp.v12-456 ◽

2007 ◽

Vol 12 (0) ◽

pp. 1323-1348 ◽

Author(s):

Marek Biskup ◽

Timothy Prescott

Keyword(s):

Random Walk ◽

Functional Clt ◽

Random Conductances

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Large deviations for the local times of a random walk among random conductances

Electronic Communications in Probability ◽

10.1214/ecp.v17-1820 ◽

2012 ◽

Vol 17 (0) ◽

Author(s):

Wolfgang König ◽

Michele Salvi ◽

Tilman Wolff

Keyword(s):

Random Walk ◽

Large Deviations ◽

Local Times ◽

Random Conductances

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On Groups, Slow Heat Kernel Decay Yields Liouville Property and Sharp Entropy Bounds

International Mathematics Research Notices ◽

10.1093/imrn/rny034 ◽

2018 ◽

Author(s):

Yuval Peres ◽

Tianyi Zheng

Keyword(s):

Heat Kernel ◽

Liouville Property ◽

Entropy Bounds ◽

Heat Kernel Decay

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Anomalous heat kernel behaviour for the dynamic random conductance model

Electronic Communications in Probability ◽

10.1214/ecp.v18-2525 ◽

2013 ◽

Vol 18 (0) ◽

Author(s):

Stephen Buckley

Keyword(s):

Heat Kernel ◽

Random Conductance Model ◽

Random Conductance ◽

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On heat kernel decay for the random conductance model

Statistics & Probability Letters ◽

10.1016/j.spl.2017.09.019 ◽

2018 ◽

Vol 133 ◽

pp. 23-27

Author(s):

Omar Boukhadra

Keyword(s):

Heat Kernel ◽

Random Conductance Model ◽

Heat Kernel Decay ◽

Random Conductance

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