A Large Deviations Principle for the Polar Empirical Measure in the Two-Dimensional Symmetric Simple Exclusion Process

Probability and Analysis in Interacting Physical Systems - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-030-15338-0_8 ◽

2019 ◽

pp. 215-242

Author(s):

Claudio Landim ◽

Chih-Chung Chang ◽

Tzong-Yow Lee

Keyword(s):

Large Deviations ◽

Exclusion Process ◽

Empirical Measure ◽

Two Dimensional ◽

Large Deviations Principle ◽

Simple Exclusion Process ◽

Symmetric Simple Exclusion Process ◽

Simple Exclusion

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Occupation time large deviations of two-dimensional symmetric simple exclusion process

The Annals of Probability ◽

10.1214/aop/1079021460 ◽

2004 ◽

Vol 32 (1B) ◽

pp. 661-691 ◽

Cited By ~ 3

Author(s):

Tzong-Yow Lee ◽

Claudio Landim ◽

Chih-Chung Chang

Keyword(s):

Large Deviations ◽

Exclusion Process ◽

Occupation Time ◽

Two Dimensional ◽

Simple Exclusion Process ◽

Symmetric Simple Exclusion Process ◽

Simple Exclusion

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Large Deviations in the Symmetric Simple Exclusion Process with Slow Boundaries

Journal of Statistical Physics ◽

10.1007/s10955-020-02680-3 ◽

2021 ◽

Vol 182 (1) ◽

Author(s):

Bernard Derrida ◽

Ori Hirschberg ◽

Tridib Sadhu

Keyword(s):

Large Deviations ◽

Exclusion Process ◽

Simple Exclusion Process ◽

Symmetric Simple Exclusion Process ◽

Simple Exclusion

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Large deviations for the symmetric simple exclusion process in dimensions d ≥ 3

Probability Theory and Related Fields ◽

10.1007/s004400050202 ◽

1999 ◽

Vol 113 (1) ◽

pp. 1-84 ◽

Cited By ~ 16

Author(s):

J. Quastel ◽

F. Rezakhanlou ◽

S. R. S. Varadhan

Keyword(s):

Large Deviations ◽

Exclusion Process ◽

Simple Exclusion Process ◽

Symmetric Simple Exclusion Process ◽

Simple Exclusion

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Occupation Time Large Deviations for the Symmetric Simple Exclusion Process

The Annals of Probability ◽

10.1214/aop/1176989925 ◽

1992 ◽

Vol 20 (1) ◽

pp. 206-231 ◽

Cited By ~ 19

Author(s):

C. Landim

Keyword(s):

Large Deviations ◽

Exclusion Process ◽

Occupation Time ◽

Simple Exclusion Process ◽

Symmetric Simple Exclusion Process ◽

Simple Exclusion

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Exact eigenspectrum of the symmetric simple exclusion process on the complete, complete bipartite and related graphs

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/46/29/295001 ◽

2013 ◽

Vol 46 (29) ◽

pp. 295001 ◽

Cited By ~ 4

Author(s):

J R G Mendonça

Keyword(s):

Exclusion Process ◽

Simple Exclusion Process ◽

Symmetric Simple Exclusion Process ◽

Simple Exclusion

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Interface fluctuations in the two-dimensional weakly asymmetric simple exclusion process

Stochastic Processes and their Applications ◽

10.1016/0304-4149(92)90060-4 ◽

1992 ◽

Vol 43 (2) ◽

pp. 223-247 ◽

Cited By ~ 3

Author(s):

Krishnamurthi Ravishankar

Keyword(s):

Exclusion Process ◽

Asymmetric Simple Exclusion Process ◽

Two Dimensional ◽

Simple Exclusion Process ◽

Interface Fluctuations ◽

Asymmetric Simple Exclusion ◽

Simple Exclusion

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Extreme fluctuations of current in the symmetric simple exclusion process: a non-stationary setting

Journal of Statistical Mechanics Theory and Experiment ◽

10.1088/1742-5468/2014/06/p06007 ◽

2014 ◽

Vol 2014 (6) ◽

pp. P06007 ◽

Cited By ~ 12

Author(s):

A Vilenkin ◽

B Meerson ◽

P V Sasorov

Keyword(s):

Exclusion Process ◽

Simple Exclusion Process ◽

Symmetric Simple Exclusion Process ◽

Simple Exclusion

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Current Fluctuations of the One Dimensional Symmetric Simple Exclusion Process with Step Initial Condition

Journal of Statistical Physics ◽

10.1007/s10955-009-9772-7 ◽

2009 ◽

Vol 136 (1) ◽

pp. 1-15 ◽

Cited By ~ 47

Author(s):

Bernard Derrida ◽

Antoine Gerschenfeld

Keyword(s):

Exclusion Process ◽

Current Fluctuations ◽

Initial Condition ◽

One Dimensional ◽

Simple Exclusion Process ◽

Symmetric Simple Exclusion Process ◽

Simple Exclusion ◽

The One

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Large Deviations for the Asymmetric Simple Exclusion Process

Stochastic Analysis on Large Scale Interacting Systems ◽

10.2969/aspm/03910001 ◽

2019 ◽

Author(s):

Srinivasa R.S. Varadhan

Keyword(s):

Large Deviations ◽

Exclusion Process ◽

Asymmetric Simple Exclusion Process ◽

Simple Exclusion Process ◽

Asymmetric Simple Exclusion ◽

Simple Exclusion

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From single-file diffusion to two-dimensional cage diffusion and generalization of the totally asymmetric simple exclusion process to higher dimensions

Physical Review E ◽

10.1103/physreve.93.012134 ◽

2016 ◽

Vol 93 (1) ◽

Cited By ~ 5

Author(s):

P. M. Centres ◽

S. Bustingorry

Keyword(s):

Exclusion Process ◽

Higher Dimensions ◽

Asymmetric Simple Exclusion Process ◽

Two Dimensional ◽

Single File ◽

Simple Exclusion Process ◽

Asymmetric Simple Exclusion ◽

Simple Exclusion ◽

Cage Diffusion ◽

Single File Diffusion

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