Extremal inhomogeneous Gibbs states for SOS-models and finite-spin models on trees
DOI10.1007/s10955-023-03081-yOpenAlexW4360980945MaRDI QIDQ2694777
Christof Külske, Arnaud Le Ny, Loren Coquille
Publication date: 4 April 2023
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.10206
disordered systemsGibbs measurescluster expansioncutsetsextremal statesexcess energygradient interactionsmodels on trees
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
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Cites Work
- Unnamed Item
- Unnamed Item
- Gibbs-non-Gibbs properties for evolving Ising models on trees
- Existence of random gradient states
- Countable state space Markov random fields and Markov chains on trees
- Scaling limit for a class of gradient fields with nonconvex potentials
- A new set of limiting Gibbs measures for the Ising model on a Cayley tree
- A manifold of pure Gibbs states of the Ising model on a Cayley tree
- Description of weakly periodic Gibbs measures for the Ising model on a Cayley tree
- Localization and delocalization of random interfaces
- Gibbs measures and phase transitions
- Markov random fields on an infinite tree
- Remarks on the limiting Gibbs states on a (d+1)-tree
- Motion by mean curvature from the Ginzburg-Landau \(\nabla\phi\) interface model
- Large deviations and concentration properties for \(\nabla_\varphi \) interface models
- A simple inductive approach to the problem of convergence of cluster expansions of polymer models
- On the purity of the limiting Gibbs state for the Ising model on the Bethe lattice.
- The Ising model and percolation on trees and tree-like graphs
- Glassy states: the free Ising model on a tree
- Coexistence of localized Gibbs measures and delocalized gradient Gibbs measures on trees
- A manifold of pure Gibbs states of the Ising model on the Lobachevsky plane
- Gradient Gibbs measures for the SOS model with countable values on a Cayley tree
- Nonlinear elastic free energies and gradient Young-Gibbs measures
- Nonexistence of random gradient Gibbs measures in continuous interface models in \(d=2\)
- A contour method on Cayley trees
- Phase coexistence of gradient Gibbs states
- Dynamical Gibbs-non-Gibbs transitions in Widom-Rowlinson models on trees
- Gibbs Measures on Cayley Trees
- Gibbs States on Countable Sets
- An ?Inner? Variational Principle for Markov Fields on a Graph
- A RIGOROUS RENORMALIZATION GROUP METHOD FOR INTERFACES IN RANDOM MEDIA
- Gibbs State Describing Coexistence of Phases for a Three-Dimensional Ising Model
- Statistical Mechanics of Lattice Systems
- Probability theory. A comprehensive course
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