The interchange process with reversals on the complete graph

DOI10.1214/19-EJP366zbMath1427.60196arXiv1812.03301OpenAlexW2957728068MaRDI QIDQ2279301

Benjamin Lees, Michał Kotowski, Piotr Miłoś, Jakob E. Björnberg

Publication date: 12 December 2019

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

Full work available at URL: https://arxiv.org/abs/1812.03301

zbMATH Keywords

XXZ modelinterchange processPoisson-Dirichlet distribution

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (7)

Critical Parameters for Loop and Bernoulli Percolation ⋮ Characterising random partitions by random colouring ⋮ Cutoff for rewiring dynamics on perfect matchings ⋮ Split-and-merge in stationary random stirring on lattice torus ⋮ Phase transition for the interchange and quantum Heisenberg models on the Hamming graph ⋮ Loop correlations in random wire models ⋮ Sharp phase transition for random loop models on trees

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• Poisson–Dirichlet and GEM Invariant Distributions for Split-and-Merge Transformations of an Interval Partition
• Random loop representations for quantum spin systems
• Infinite cycles in the random stirring model on trees

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