Models of gradient type with sub-quadratic actions

DOI10.1063/1.5046860zbMath1426.82021arXiv1807.00258OpenAlexW3103676538WikidataQ127450569 ScholiaQ127450569MaRDI QIDQ5228077

Zichun Ye

Publication date: 8 August 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.00258

zbMATH Keywords

Gibbs measurerandom walkrandom interface model

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31)

Related Items (3)

Concentration inequalities for log-concave distributions with applications to random surface fluctuations ⋮ Phase transitions for a class of gradient fields ⋮ Gibbs measures for HC-model with a cuountable set of spin values on a Cayley tree

Cites Work

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• Decay of covariances, uniqueness of ergodic component and scaling limit for a class of \(\nabla\phi\) systems with non-convex potential
• Gibbs measures and phase transitions.
• Scaling limit for a class of gradient fields with nonconvex potentials
• Strict convexity of the free energy for a class of non-convex gradient models
• On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
• Motion by mean curvature from the Ginzburg-Landau \(\nabla\phi\) interface model
• Large deviations and concentration properties for \(\nabla_\varphi \) interface models
• Invariance principle for the random conductance model in a degenerate ergodic environment
• Phase coexistence of gradient Gibbs states
• Gaussian free fields for mathematicians
• Fluctuation estimates for sub-quadratic gradient field actions
• Multiplicative Strong Unimodality
• Multiplicative strong unimodality for positive stable laws
• A lower lipschitz condition for the stable subordinator

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