The random interchange process on the hypercube

DOI10.1214/16-ECP4540zbMath1338.60019arXiv1509.02067OpenAlexW3100714313WikidataQ62458341 ScholiaQ62458341MaRDI QIDQ287774

Piotr Miłoś, Daniel Ueltschi, Roman Kotecký

Publication date: 23 May 2016

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.02067

zbMATH Keywords

long cyclesquantum Heisenberg modelrandom interchangerandom stirring

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31)

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Critical parameter of random loop model on trees ⋮ The free energy in a class of quantum spin systems and interchange processes ⋮ Critical Parameters for Loop and Bernoulli Percolation ⋮ Limit distributions for Euclidean random permutations ⋮ Strongly correlated random interacting processes. Abstracts from the workshop held January 28 -- February 3, 2018 ⋮ The interchange process on high-dimensional products ⋮ On the cycle structure of Mallows permutations ⋮ The interchange process with reversals on the complete graph ⋮ Phase transition for the interchange and quantum Heisenberg models on the Hamming graph ⋮ Existence of a phase transition of the interchange process on the Hamming graph ⋮ Scaling limit of ballistic self-avoiding walk interacting with spatial random permutations ⋮ The mean-field quantum Heisenberg ferromagnet via representation theory

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