Infinite cycles in the random stirring model on trees

zbMath1315.60109arXiv1202.1319MaRDI QIDQ5747110

Alan Hammonnd

Publication date: 11 February 2014

Full work available at URL: https://arxiv.org/abs/1202.1319

zbMATH Keywords

spatial random permutationsrandom interchange modelranodm stirring process

Mathematics Subject Classification ID

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

Related Items (13)

Critical parameter of random loop model on trees ⋮ Critical Parameters for Loop and Bernoulli Percolation ⋮ Phase transition for loop representations of quantum spin systems on trees ⋮ Limit distributions for Euclidean random permutations ⋮ On the cycle structure of Mallows permutations ⋮ Random loop representations for quantum spin systems ⋮ Critical temperature of Heisenberg models on regular trees, via random loops ⋮ 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 ⋮ Sharp phase transition for random loop models on trees ⋮ The mean-field quantum Heisenberg ferromagnet via representation theory ⋮ Critical point for infinite cycles in a random loop model on trees

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