Critical parameter of random loop model on trees

DOI10.1214/17-AAP1315zbMath1402.60125arXiv1608.08473OpenAlexW3104557461MaRDI QIDQ1617119

Daniel Ueltschi, Jakob E. Björnberg

Publication date: 7 November 2018

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

Full work available at URL: https://arxiv.org/abs/1608.08473

zbMATH Keywords

random loop modelquantum Heisenberg

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) 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)

Related Items

Critical Parameters for Loop and Bernoulli Percolation, Phase transition for loop representations of quantum spin systems on trees, 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, Sharp phase transition for random loop models on trees, Critical point for infinite cycles in a random loop model on trees

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