Spectral gap for zero-range dynamics
type: Item
instance of: scholarly article
title: Spectral gap for zero-range dynamics
zbMATH Open document ID: 0870.60095
author: C. Landim
author: Sunder Sethuraman
author: S. R. S. Varadhan
published in: The Annals of Probability
publication date: 1997-09-01T00:00:00Z
review text: The authors study symmetric zero-range processes. More precisely, they consider the finite coordinate processes confined to cube of size \(n^d\), and prove uniform \({\mathcal O}(n^2)\) estimates for the spectral gap of these processes, under some conditions on the rate function. The authors follow the method outlined by Lu and Yau where a similar spectral gap is proved for Kawasaki dynamics.
reviewed by: Sylvie Méléard
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 986789
zbMATH Keywords: zero-range process
zbMATH Keywords: spectral gap
zbMATH Keywords: conditions on the rate function
zbMATH Keywords: Kawasaki dynamics
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1041903209
OpenAlex ID: W1970065085
cites work: Invariant measures for the zero range process
cites work: Conditional limit theorems for exponential families and finite versions of de Finetti's theorem
cites work: Q5624248
cites work: Central limit theorems for infinite series of queues and applications to simple exclusion
cites work: Hydrodynamical limit for a nongradient system: The generalized symmetric exclusion process
cites work: Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics
cites work: Q4085018
cites work: Diffusion of color in the simple exclusion process
cites work: A central limit theorem for reversible exclusion and zero-range particle systems
cites work: Exponential convergence to equilibrium for a class of random-walk models
cites work: Q4279833
DOI: 10.1214/AOP/1041903209
description: scientific article; zbMATH DE number 986789