Planar Ising magnetization field. II: Properties of the critical and near-critical scaling limits

DOI10.1214/14-AIHP643zbMath1338.82009arXiv1307.3926MaRDI QIDQ5963213

Christophe Garban, Charles M. Newman, Federico Camia

Publication date: 4 March 2016

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/1307.3926

zbMATH Keywords

conformal covariance Ising model Ising magnetization field near-criticality sub-Gaussian tails

Mathematics Subject Classification ID

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 (22)

The two-dimensional continuum random field Ising model ⋮ Ising model with Curie-Weiss perturbation ⋮ Mass scaling of the near-critical 2D Ising model using random currents ⋮ Imaginary multiplicative chaos: moments, regularity and connections to the Ising model ⋮ Brownian loops, layering fields and imaginary Gaussian multiplicative chaos ⋮ A characterisation of the Gaussian free field ⋮ A Gaussian process related to the mass spectrum of the near-critical Ising model ⋮ Slit-strip Ising boundary conformal field theory. I: Discrete and continuous function spaces ⋮ The work of Hugo Duminil-Copin ⋮ A stroll around the critical Potts model ⋮ Scaling limits and universality of Ising and dimer models ⋮ Energy correlations of non-integrable Ising models: the scaling limit in the cylinder ⋮ Convergence of the Two-Dimensional Dynamic Ising-Kac Model to Φ24 ⋮ The Ising magnetization exponent on \(\mathbb{Z }^2\) is \(1/15\) ⋮ Conformal Measure Ensembles for Percolation and the FK–Ising Model ⋮ Probability Theory in Statistical Physics, Percolation, and Other Random Topics: The Work of C. Newman ⋮ Polynomial chaos and scaling limits of disordered systems ⋮ Renormalisation of parabolic stochastic PDEs ⋮ FK-Ising coupling applied to near-critical planar models ⋮ The effect of free boundary conditions on the Ising model in high dimensions ⋮ Planar Ising magnetization field. I: Uniqueness of the critical scaling limit ⋮ The \(\Phi_3^4\) measure has sub-Gaussian tails

This page was built for publication: Planar Ising magnetization field. II: Properties of the critical and near-critical scaling limits