Distributional Limits for the Symmetric Exclusion Process

2007/10/18 by Thomas M. Liggett, Liggett, Thomas M. · 1 citation
Decision Sciences · Mathematics · #60K35 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Probability and Risk Models #Random Matrices and Applications #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.0710.3606

openalex publication_date 2007/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Strong negative dependence properties have recently been proved for the symmetric exclusion process. In this paper, we apply these results to prove convergence to the Poisson and normal distributions for various functionals of the process.

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• Point process convergence of extremes in K-symmetric exclusion

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