Random currents expansion of the Ising model

DOI10.4171/176-1/39zbMath1403.82005arXiv1607.06933OpenAlexW2505652513MaRDI QIDQ1620883

Hugo Duminil-Copin

Publication date: 14 November 2018

Full work available at URL: https://arxiv.org/abs/1607.06933

zbMATH Keywords

phase transitionIsing modelcritical behaviorferromagnetism

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) 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 (10)

Continuity of the Ising phase transition on nonamenable groups ⋮ On the two-point function of the Ising model with infinite-range interactions ⋮ On monotonicity and couplings of random currents and the loop-$\mathrm{O}(1)$-model ⋮ Long-range order for critical Book-Ising and Book-percolation ⋮ The Ising model in our dimension and our times ⋮ Lectures on the Ising and Potts Models on the Hypercubic Lattice ⋮ Marginal triviality of the scaling limits of critical 4D Ising and \(\phi_4^4\) models ⋮ Inverting the coupling of the signed Gaussian free field with a loop-soup ⋮ Ising model and the positive orthogonal Grassmannian ⋮ On the double random current nesting field

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