A variational principle for a non-integrable model

DOI10.1007/s00440-020-00959-wzbMath1446.82017arXiv1610.08103OpenAlexW3005693001MaRDI QIDQ783792

Georg Menz, Martin Tassy

Publication date: 4 August 2020

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.08103

zbMATH Keywords

entropyvariational principlesdomino tilingsGlauber dynamicsergodic measuresconcentration inequalitieslimit shapesAzuma-Hoeffdinggradient-Gibbs measuresnon-integrable models

Mathematics Subject Classification ID

Trees (05C05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical thermodynamics (82B30)

Related Items (6)

Asymptotics for the number of standard tableaux of skew shape and for weighted lozenge tilings ⋮ Macroscopic behavior of Lipschitz random surfaces ⋮ Deducing a variational principle with minimal \textit{a priori} assumptions ⋮ Delocalization of uniform graph homomorphisms from \({\mathbb{Z}}^2\) to \({\mathbb{Z}} \) ⋮ Kirszbraun-type theorems for graphs ⋮ Non-integrable dimers: universal fluctuations of tilted height profiles

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stochastic six-vertex model
• Fast domino tileability
• Arctic curves of the six-vertex model on generic domains: the tangent method
• Exponential decay of loop lengths in the loop \(\mathrm{O}(n)\) model with large \(n\)
• Scaling limit for the space-time covariance of the stationary totally asymmetric simple exclusion process
• Strong spherical asymptotics for rotor-router aggregation and the divisible sandpile
• Gibbs measures and phase transitions
• A variational problem for random Young tableaux
• A note on the eigenvalue density of random matrices
• Motion by mean curvature from the Ginzburg-Landau \(\nabla\phi\) interface model
• Mixing times of lozenge tiling and card shuffling Markov chains
• Gibbs measures and dismantlable graphs
• Limit shapes of the stochastic six vertex model
• Local statistics for random domino tilings of the Aztec diamond
• On Lipschitz compactifications of trees
• Limit shapes and the complex Burgers equation
• The Wulff crystal in Ising and percolation models. École d'Été de Probabilités de Saint-Flour XXXIV -- 2004
• Weighted sums of certain dependent random variables
• Limit shapes for random square Young tableaux
• A variational principle for domino tilings
• Markov Chain Algorithms for Planar Lattice Structures
• Ribbon tilings and multidimensional height functions
• Entropy and boundary conditions in random rhombus tilings
• Probability Inequalities for Sums of Bounded Random Variables
• On the extension of a vector function so as to preserve a Lipschitz condition
• Probability

This page was built for publication: A variational principle for a non-integrable model