Dynkin isomorphism and Mermin-Wagner theorems for hyperbolic sigma models and recurrence of the two-dimensional vertex-reinforced jump process

DOI10.1214/19-AOP1343zbMath1448.60109arXiv1802.02077OpenAlexW3103283549MaRDI QIDQ2280560

Tyler Helmuth, Roland Bauerschmidt, Andrew Swan

Publication date: 18 December 2019

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

Full work available at URL: https://arxiv.org/abs/1802.02077

zbMATH Keywords

supersymmetryDynkin isomorphismvertex-reinforced jump processMermin-Wagner theoremhyperbolic sigma models

Mathematics Subject Classification ID

Random fields (60G60) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Supersymmetry and quantum mechanics (81Q60) Continuous-time Markov processes on discrete state spaces (60J27)

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