Existence of random gradient states

DOI10.1214/11-AAP808zbMath1254.60095arXiv1012.4375MaRDI QIDQ453252

Christof Külske, Codina Cotar

Publication date: 19 September 2012

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.4375

zbMATH Keywords

Green's functionsurface tensiondisordered systemsgradient Gibbs measuresrandom interfaces

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Processes in random environments (60K37)

Related Items

Random-field random surfaces, Convergence to the thermodynamic limit for random-field random surfaces, Existence of gradient Gibbs measures on regular trees which are not translation invariant, Extremal inhomogeneous Gibbs states for SOS-models and finite-spin models on trees, Decay of covariances, uniqueness of ergodic component and scaling limit for a class of \(\nabla\phi\) systems with non-convex potential, Existence of random gradient states, Extremal decomposition for random Gibbs measures: from general metastates to metastates on extremal random Gibbs measures, Uniqueness of gradient Gibbs measures with disorder, Coexistence of localized Gibbs measures and delocalized gradient Gibbs measures on trees, Quantitative hydrodynamic limits of the Langevin dynamics for gradient interface models, Gradient Gibbs measures for the SOS model with countable values on a Cayley tree

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