Macroscopic behavior of Lipschitz random surfaces
DOI10.2140/pmp.2024.5.177arXiv2004.15025OpenAlexW4391360980WikidataQ129088045 ScholiaQ129088045MaRDI QIDQ6151640
Publication date: 12 February 2024
Published in: Probability and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.15025
variational principleergodicitysurface tensionlarge deviations principlelimit shapessix-vertex modelstochastic monotonicitygradient Gibbs measuresrandom Lipschitz functionsentropy minimizers
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) Statistical thermodynamics (82B30)
Cites Work
- Unnamed Item
- Unnamed Item
- Decay of covariances, uniqueness of ergodic component and scaling limit for a class of \(\nabla\phi\) systems with non-convex potential
- Height fluctuations in interacting dimers
- Gibbs measures and phase transitions.
- Strict convexity of the free energy for a class of non-convex gradient models
- Non-integrable dimers: universal fluctuations of tilted height profiles
- A variational principle for a non-integrable model
- Lectures on probability theory and statistics. Ecole d'Eté de Probabilités de Saint-Flour XXXIII -- 2003. Lectures given at the 33rd probability summer school, Saint-Flour, France, July 6--23, 2003.
- Minimizers of convex functionals arising in random surfaces
- Large deviations techniques and applications.
- Density and uniqueness in percolation
- Motion by mean curvature from the Ginzburg-Landau \(\nabla\phi\) interface model
- Locality of connective constants
- Variational principle for weakly dependent random fields
- Deducing a variational principle with minimal \textit{a priori} assumptions
- A variational principle for domino tilings
- Probability on Graphs
- Min- and Max-Relative Entropies and a New Entanglement Monotone
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