Cutoff profile of the metropolis biased card shuffling

DOI10.1214/23-aop1668arXiv2208.13383OpenAlexW4392468987MaRDI QIDQ6151954

Lingfu Zhang

Publication date: 11 March 2024

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

Full work available at URL: https://arxiv.org/abs/2208.13383

zbMATH Keywords

simple exclusion processHecke algebraTracy-Widom distributionKPZ universalitycutoff profileMarkov chain mixingbiased card shuffling

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stochastic six-vertex model
• Mixing time and cutoff for the adjacent transposition shuffle and the simple exclusion
• The cutoff profile for the simple exclusion process on the circle
• Cutoff on all Ramanujan graphs
• The TASEP speed process
• Total variation cutoff in birth-and-death chains
• Cutoff phenomena for random walks on random regular graphs
• The oriented swap process
• Asymptotics in ASEP with step initial condition
• Trailing the dovetail shuffle to its lair
• Level-spacing distributions and the Airy kernel
• Stochastic Burgers and KPZ equations from particle systems
• Mixing times of lozenge tiling and card shuffling Markov chains
• Convergence of the stochastic six-vertex model to the ASEP, stochastic six-vertex model and ASEP
• On orthogonal and symplectic matrix ensembles
• Cutoff for the Ising model on the lattice
• Shape fluctuations and random matrices
• Cutoff for nonbacktracking random walks on sparse random graphs
• Color-position symmetry in interacting particle systems
• Symmetries of stochastic colored vertex models
• The KPZ fixed point
• Limit profiles for reversible Markov chains
• A phase transition for repeated averages
• Absorbing time asymptotics in the oriented swap process
• Cutoff profile of ASEP on a segment
• Limit profile for random transpositions
• Mixing time of the adjacent walk on the simplex
• Cutoff phenomenon for the asymmetric simple exclusion process and the biased card shuffling
• Shift-invariance of the colored TASEP and finishing times of the oriented swap process
• The ASEP speed process
• A Pfaffian Representation for Flat ASEP
• Airy Processes and Variational Problems
• Shuffling Cards and Stopping Times
• Generating a random permutation with random transpositions
• Mixing times of the biased card shuffling and the asymmetric exclusion process
• The cutoff phenomenon in finite Markov chains.
• Convergence of exclusion processes and the KPZ equation to the KPZ fixed point
• Analysis of systematic scan Metropolis algorithms using Iwahori-Hecke algebra techniques
• Mixing times for the simple exclusion process with open boundaries
• Shift‐invariance for vertex models and polymers
• Universality of cutoff for exclusion with reservoirs