Large deviations for the 2D Ising model: A lower bound without cluster expansions

Related Items (26)

Complete analyticity for 2D Ising completed ⋮ Exact large deviation bounds up to \(T_ c\) for the Ising model in two dimensions ⋮ Surface order large deviations for Ising, Potts and percolation models ⋮ Asymptotic exponential law for the transition time to equilibrium of the metastable kinetic Ising model with vanishing magnetic field ⋮ Fluctuations of shapes of large areas under paths of random walks ⋮ Phase separation for the long range one-dimensional Ising model ⋮ A new look at the interfaces in percolation ⋮ Quasi-polynomial mixing of the 2D stochastic Ising model with ``plus boundary up to criticality ⋮ An analyticity bound for two-dimensional Ising model at low temperature ⋮ Critical region for droplet formation in the two-dimensional Ising model ⋮ On the Gibbs states of the noncritical Potts model on \(\mathbb Z ^2\) ⋮ Geometric variational problems of statistical mechanics and of combinatorics ⋮ Shannon-McMillan theorems for discrete random fields along curves and lower bounds for surface-order large deviations ⋮ Surface order large deviations for 2D FK-percolation and Potts models ⋮ On the 2D Ising Wulff crystal near criticality ⋮ Quantitative homogenization of the disordered \(\nabla \phi \) model ⋮ The 2D-Ising model near criticality: a FK-percolation analysis ⋮ Rigorous probabilistic analysis of equilibrium crystal shapes ⋮ Rigorous probabilistic analysis of equilibrium crystal shapes ⋮ Tightness and tails of the maximum in 3D Ising interfaces ⋮ Large deviations in the van der Waals limit ⋮ Surface tension in the dilute Ising model. The Wulff construction ⋮ Equivalences of the large deviation principle for Gibbs measures and critical balance in the Ising model ⋮ On the two-dimensional stochastic Ising model in the phase coexistence region near the critical point ⋮ \(N^{3/4}\) law in the cubic lattice ⋮ Constrained variational problem with applications to the Ising model.

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