Loop correlations in random wire models

DOI10.1007/s00220-019-03474-9zbMath1439.82010arXiv1807.06564OpenAlexW3103863898WikidataQ127717243 ScholiaQ127717243MaRDI QIDQ2304953

Daniel Ueltschi, Costanza Benassi

Publication date: 9 March 2020

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

Full work available at URL: https://arxiv.org/abs/1807.06564

zbMATH Keywords

Poisson-Dirichletloop soup modelsrandom wire model

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Quantum waveguides, quantum wires (82D77)

Related Items (7)

Site monotonicity and uniform positivity for interacting random walks and the spin \(O(N)\) model with arbitrary \(N\) ⋮ Macroscopic loops in the Bose gas, spin \(O(N)\) and related models ⋮ Macroscopic loops in the \(3 d\) double-dimer model ⋮ An elementary proof of phase transition in the planar XY model ⋮ The interchange process with reversals on the complete graph ⋮ Site-monotonicity properties for reflection positive measures with applications to quantum spin systems ⋮ Exponential decay of transverse correlations for \(O(N)\) spin systems and related models

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