Site monotonicity and uniform positivity for interacting random walks and the spin \(O(N)\) model with arbitrary \(N\)

DOI10.1007/s00220-019-03647-6zbMath1445.60075arXiv1902.07252OpenAlexW3100459853WikidataQ126530178 ScholiaQ126530178MaRDI QIDQ2181986

Lorenzo Taggi, Benjamin Lees

Publication date: 20 May 2020

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.07252

zbMATH Keywords

interacting random walksclassical spin \(O(N)\) model

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (6)

Macroscopic loops in the Bose gas, spin \(O(N)\) and related models ⋮ Macroscopic loops in the \(3 d\) double-dimer model ⋮ Site-monotonicity properties for reflection positive measures with applications to quantum spin systems ⋮ Precise asymptotics of longest cycles in random permutations without macroscopic cycles ⋮ Exponential decay of transverse correlations for \(O(N)\) spin systems and related models ⋮ Loop correlations in random wire models

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