The critical Ising model on amenable graphs of exponential growth
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Publication:2327746
DOI10.4171/LEM/64-3/4-4zbMath1428.82015OpenAlexW2962947608WikidataQ115481577 ScholiaQ115481577MaRDI QIDQ2327746
Publication date: 15 October 2019
Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/lem/64-3/4-4
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)
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Translation-invariant Gibbs states of the Ising model: general setting, New critical exponent inequalities for percolation and the random cluster model
Cites Work
- A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model
- Critical percolation on any quasi-transitive graph of exponential growth has no infinite clusters
- Methods of contemporary mathematical statistical physics. Lecture notes presented at the 5th Prague summer school on mathematical statistical physics, Prague, Czech Republik, September 2006
- On the critical behavior of the magnetization in high-dimensional Ising models
- Percolation beyond \(\mathbb{Z}^ d\), many questions and a few answers
- On the purity of the limiting Gibbs state for the Ising model on the Bethe lattice.
- The random-cluster model on a homogeneous tree
- Discontinuity of the magnetization in one-dimensional \(1/| x-y| ^ 2\) Ising and Potts models.
- Translation-invariant Gibbs states of the Ising model: general setting
- Random currents and continuity of Ising model's spontaneous magnetization
- Lace expansion for the Ising model
- Translation invariant Gibbs states for the Ising model
- Growth of finitely generated solvable groups
- Growth of finitely generated solvable groups and curvature of Riemannian manifolds
- Lectures on the Ising and Potts Models on the Hypercubic Lattice
- Some two-generator one-relator non-Hopfian groups
- The Random-Cluster Model
- Crystal Statistics. II. Partition Function Evaluated by Spinor Analysis
- The Spontaneous Magnetization of a Two-Dimensional Ising Model
- Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition
