Cycle structure of the interchange process and representation theory
From MaRDI portal
Publication:5255627
zbMath1354.60113arXiv1205.4753MaRDI QIDQ5255627
Gady Kozma, Nathanaël Berestycki
Publication date: 16 June 2015
Full work available at URL: https://arxiv.org/abs/1205.4753
representation theorycycle decompositiongiant componentinterchange processrandom transpositionscharacter ratiosslowdown transition
Combinatorial aspects of representation theory (05E10) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Random walks on graphs (05C81)
Related Items (14)
Critical parameter of random loop model on trees ⋮ The free energy in a class of quantum spin systems and interchange processes ⋮ Shuffling cards by spatial motion ⋮ Quantum spins and random loops on the complete graph ⋮ Heisenberg models and Schur-Weyl duality ⋮ Strongly correlated random interacting processes. Abstracts from the workshop held January 28 -- February 3, 2018 ⋮ The interchange process on high-dimensional products ⋮ Random loop representations for quantum spin systems ⋮ Comparing with octopi ⋮ Phase transition for the interchange and quantum Heisenberg models on the Hamming graph ⋮ Loop correlations in random wire models ⋮ 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
This page was built for publication: Cycle structure of the interchange process and representation theory
