The mixing time for simple exclusion

DOI10.1214/105051605000000728zbMath1133.60037arXivmath/0405157OpenAlexW3099188142MaRDI QIDQ997944

Ben Morris

Publication date: 8 August 2007

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

Full work available at URL: https://arxiv.org/abs/math/0405157

zbMATH Keywords

relaxation timeexclusion processcontinuous time Markov chainmixing-time

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Continuous-time Markov processes on discrete state spaces (60J27)

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Mixing time and cutoff for the adjacent transposition shuffle and the simple exclusion ⋮ The probability of long cycles in interchange processes ⋮ Mixing time and cutoff for the weakly asymmetric simple exclusion process ⋮ Mixing time and cutoff for one-dimensional particle systems ⋮ Mixing time for the asymmetric simple exclusion process in a random environment ⋮ Universality of cutoff for exclusion with reservoirs ⋮ Cutoff for the non reversible SSEP with reservoirs ⋮ On the blockage problem and the non-analyticity of the current for parallel TASEP on a ring ⋮ Unnamed Item ⋮ Mixing of the symmetric exclusion processes in terms of the corresponding single-particle random walk ⋮ The exclusion process mixes (almost) faster than independent particles ⋮ Comparing with octopi ⋮ Mixing times for exclusion processes on hypergraphs ⋮ Mixing of permutations by biased transpositions ⋮ A sharp log-Sobolev inequality for the multislice

Cites Work

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• Logarithmic Sobolev inequality for generalized simple exclusion processes
• Mixing times of lozenge tiling and card shuffling Markov chains
• Logarithmic Sobolev inequalities for finite Markov chains
• Evolving sets, mixing and heat kernel bounds
• On the spectral gap of Kawasaki dynamics under a mixing condition revisited
• Hydrodynamics and large deviation for simple exclusion processes
• Quantum Heisenberg ferromagnets and stochastic exclusion processes
• Diffusion of color in the simple exclusion process
• Mixing times of the biased card shuffling and the asymmetric exclusion process

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