Rate of relaxation for a mean-field zero-range process

DOI10.1214/08-AAP549zbMath1166.60338arXiv0712.2599OpenAlexW3105009683MaRDI QIDQ1024889

Benjamin T. Graham

Publication date: 17 June 2009

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

Full work available at URL: https://arxiv.org/abs/0712.2599

zbMATH Keywords

relaxationMarkov chainspectral gapzero-range processboxesballsmean fieldlog Sobolev

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

Related Items (6)

Cutoff for the mean-field zero-range process with bounded monotone rates ⋮ Derivation of mean-field equations for stochastic particle systems ⋮ Uncovering a Two-Phase Dynamics from a Dollar Exchange Model with Bank and Debt ⋮ Derivation of wealth distributions from biased exchange of money ⋮ Entropy dissipation estimates for inhomogeneous zero-range processes ⋮ Cutoff for the mean-field zero-range process

Cites Work

• Spectral gap for the zero range process with constant rate
• On the analysis of randomized load balancing schemes
• Structure of large random hypergraphs
• Logarithmic Sobolev inequalities for finite Markov chains
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