The mean-field zero-range process with unbounded monotone rates: mixing time, cutoff, and Poincaré constant

DOI10.1214/22-aap1851zbMath1527.60057arXiv2104.10478OpenAlexW3152914084MaRDI QIDQ6104011

Hong Quan Tran

Publication date: 5 June 2023

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

Full work available at URL: https://arxiv.org/abs/2104.10478

zbMATH Keywords

cutoff phenomenonmixing timezero-range processPoincaré constant

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Continuous-time Markov processes on discrete state spaces (60J27)

Cites Work

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• Mixing time and cutoff for the adjacent transposition shuffle and the simple exclusion
• The cutoff profile for the simple exclusion process on the circle
• Spectral gap for the zero range process with constant rate
• Exponential inequalities for martingales, with application to maximum likelihood estimation for counting processes
• Cutoff for the mean-field zero-range process with bounded monotone rates
• Cutoff for the mean-field zero-range process
• A version of Aldous' spectral-gap conjecture for the zero range process

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