Shifted critical threshold in the loop \(O(n)\) model at arbitrarily small \(n\)

DOI10.1214/18-ECP189zbMath1419.82018arXiv1806.09360MaRDI QIDQ1725488

Lorenzo Taggi

Publication date: 14 February 2019

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

Full work available at URL: https://arxiv.org/abs/1806.09360

zbMATH Keywords

phase transitionloop soupsloop \(O(n)\) model

Mathematics Subject Classification ID

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

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, Exponential decay in the loop \(O(n)\) model on the hexagonal lattice for \(n > 1\) and \(x<\frac{1}{\sqrt{3}}+\varepsilon (n)\), Exponential decay of transverse correlations for \(O(N)\) spin systems and related models, Scaling limit of ballistic self-avoiding walk interacting with spatial random permutations

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