Deducing a variational principle with minimal \textit{a priori} assumptions

DOI10.37236/9121zbMath1451.82017arXiv1910.01042OpenAlexW3091406838WikidataQ114576578 ScholiaQ114576578MaRDI QIDQ2205109

Andrew Krieger, Martin Tassy, Georg Menz

Publication date: 20 October 2020

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.01042

zbMATH Keywords

large deviation principlerandom fieldsgraph homomorphisms

Mathematics Subject Classification ID

Random fields (60G60) Trees (05C05) Large deviations (60F10) 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) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

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Macroscopic behavior of Lipschitz random surfaces, A generalisation of the honeycomb dimer model to higher dimensions

Cites Work

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• Stochastic six-vertex model
• Arctic curves of the six-vertex model on generic domains: the tangent method
• A variational principle for a non-integrable model
• Scaling limit for the space-time covariance of the stationary totally asymmetric simple exclusion process
• Minimizers of convex functionals arising in random surfaces
• Strong spherical asymptotics for rotor-router aggregation and the divisible sandpile
• A variational problem for random Young tableaux
• A note on the eigenvalue density of random matrices
• Large deviations and concentration properties for \(\nabla_\varphi \) interface models
• Limit shapes of the stochastic six vertex model
• Local statistics for random domino tilings of the Aztec diamond
• Stochastic analysis on large scale interacting systems. Papers from the 11th international conference, Hayama, Japan, July 17--26, 2002 and the international conference on stochastic analysis and statistical mechanics, Kyoto, Japan, July 29--30, 2002.
• Approximation in Sobolev spaces by piecewise affine interpolation
• Kirszbraun-type theorems for graphs
• The Wulff crystal in Ising and percolation models. École d'Été de Probabilités de Saint-Flour XXXIV -- 2004
• 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
• Conway's Tiling Groups
• Entropy and boundary conditions in random rhombus tilings
• Probability