Interacting self-avoiding polygons
From MaRDI portal
Publication:2179632
DOI10.1214/19-AIHP1003zbMath1434.60272arXiv1805.08517OpenAlexW3010772986MaRDI QIDQ2179632
Lorenzo Taggi, Volker Betz, Helge Schäfer
Publication date: 13 May 2020
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.08517
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)
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, Shifted critical threshold in the loop \(O(n)\) model at arbitrarily small \(n\), 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, Loop correlations in random wire models
Cites Work
- Unnamed Item
- Scaling limit of ballistic self-avoiding walk interacting with spatial random permutations
- Conformal invariance of loops in the double-dimer model
- Supercritical self-avoiding walks are space-filling
- Spatial random permutations and infinite cycles
- Atomic Theory of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>λ</mml:mi></mml:math>Transition in Helium
- <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>λ</mml:mi></mml:math>Transition of Liquid Helium