Phase transition for the interchange and quantum Heisenberg models on the Hamming graph

DOI10.1214/20-AIHP1079zbMath1472.82021arXiv1808.08902OpenAlexW2888667663MaRDI QIDQ2041798

Radosław Adamczak, Michał Kotowski, Piotr Miłoś

Publication date: 23 July 2021

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.08902

zbMATH Keywords

Hamming graphquantum Heisenberg modelinterchange process

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Permutations, words, matrices (05A05) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Continuous-time Markov processes on discrete state spaces (60J27) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Statistical mechanics of magnetic materials (82D40) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Dynamic critical phenomena in statistical mechanics (82C27) Random walks on graphs (05C81)

Related Items (4)

The interchange process on high-dimensional products ⋮ The interchange process with reversals on the complete graph ⋮ Sharp phase transition for random loop models on trees ⋮ The mean-field quantum Heisenberg ferromagnet via representation theory

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