A central limit theorem for reversible exclusion and zero-range particle systems

DOI10.1214/aop/1041903208zbMath0872.60079OpenAlexW2050624741MaRDI QIDQ674505

Lin Xu, Sunder Sethuraman

Publication date: 1 October 1997

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1041903208

zbMATH Keywords

central limit theoreminvariance principlesimple exclusion processzero-range process

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items

An equivalence of \(H_{-1}\) norms for the simple exclusion process, Transience of second-class particles and diffusive bounds for additive functionals in one-dimensional asymmetric exclusion processes, Central limit theorems for additive functionals of the simple exclusion process., \(t^{1/3}\) superdiffusivity of finite-range asymmetric exclusion processes on \({\mathbb{Z}}\), Occupation times of long-range exclusion and connections to KPZ class exponents, Finite-dimensional approximation for the diffusion coefficient in the simple exclusion process, Fluctuations for Some Nonstationary Interacting Particle Systems via Boltzmann–Gibbs Principle, A stochastic Burgers equation from a class of microscopic interactions, Spectral gap for zero-range dynamics, Scaling Limits of Additive Functionals of Interacting Particle Systems, Spectral gap for zero-range processes with jump rate \(g(x)=x^{\gamma}\), Occupation time of exclusion processes with conductances

Cites Work

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