A version of Aldous' spectral-gap conjecture for the zero range process

DOI10.1214/18-AAP1449zbMath1466.60208arXiv1808.00325WikidataQ123241553 ScholiaQ123241553MaRDI QIDQ2330459

Justin Salez, Jonathan Hermon

Publication date: 22 October 2019

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

Full work available at URL: https://arxiv.org/abs/1808.00325

zbMATH Keywords

comparisonspectral gapDirichlet formmixing timeparticle systemexpanderszero range process

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (15)

Entropy decay in the Swendsen-Wang dynamics on \(\mathbb{Z}^d\) ⋮ Cutoff for the mean-field zero-range process with bounded monotone rates ⋮ Mixing of the averaging process and its discrete dual on finite-dimensional geometries ⋮ The mean-field zero-range process with unbounded monotone rates: mixing time, cutoff, and Poincaré constant ⋮ Universality of cutoff for exclusion with reservoirs ⋮ Upgrading MLSI to LSI for reversible Markov chains ⋮ The exclusion process mixes (almost) faster than independent particles ⋮ Modified log-Sobolev inequalities for strongly log-concave distributions ⋮ The interchange process on high-dimensional products ⋮ Entropy dissipation estimates for inhomogeneous zero-range processes ⋮ Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces ⋮ Dynamics of a Fleming-Viot type particle system on the cycle graph ⋮ From Poincaré inequalities to nonlinear matrix concentration ⋮ Modified log-Sobolev inequalities, Beckner inequalities and moment estimates ⋮ A sharp log-Sobolev inequality for the multislice

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