Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature

DOI10.1007/s00220-019-03633-yzbMath1475.82003arXiv1808.00439OpenAlexW3104527974WikidataQ97523962 ScholiaQ97523962MaRDI QIDQ2304963

Aran Raoufi, Subhajit Goswami, Hugo Duminil-Copin

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/1808.00439

zbMATH Keywords

percolationphase transitioncritical pointferromagnetic Ising model

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27) Statistical mechanics of magnetic materials (82D40)

Related Items (13)

Weak mixing and analyticity of the pressure in the Ising model ⋮ Finitary codings for gradient models and a new graphical representation for the six‐vertex model ⋮ Continuity of the Ising phase transition on nonamenable groups ⋮ On the two-point function of the Ising model with infinite-range interactions ⋮ Spatial mixing and the random‐cluster dynamics on lattices ⋮ Features of a spin glass in the random field Ising model ⋮ Low-temperature Ising dynamics with random initializations ⋮ Decay of multi-point correlation functions in \(\mathbb{Z}^d\) ⋮ 100 years of the (critical) Ising model on the hypercubic lattice ⋮ Sharp asymptotics for the truncated two-point function of the Ising model with a positive field ⋮ Marginal triviality of the scaling limits of critical 4D Ising and \(\phi_4^4\) models ⋮ On testing for parameters in Ising models ⋮ The topological hypothesis for discrete spin models

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