Scaling limit for a class of gradient fields with nonconvex potentials
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Publication:624661
DOI10.1214/10-AOP548zbMath1222.60076arXiv0704.3086OpenAlexW3098771595MaRDI QIDQ624661
Publication date: 9 February 2011
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0704.3086
Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) 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)
Related Items (22)
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Cites Work
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- The infrared behaviour of \((\nabla \Phi)^ 4_ 3\)
- Quenched invariance principle for simple random walk on percolation clusters
- Grad \(\phi\) perturbations of massless Gaussian fields
- Localization and delocalization of random interfaces
- Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
- Motion by mean curvature from the Ginzburg-Landau \(\nabla\phi\) interface model
- Equilibrium fluctuations for \(\nabla\varphi\) interface model
- Invariance principle for the random conductance model with unbounded conductances
- On homogenization and scaling limit of some gradient perturbations of a massless free field
- Functional CLT for random walk among bounded random conductances
- Quenched invariance principles for random walks with random conductances
- On estimating the derivatives of symmetric diffusions in stationary random environment, with applications to \(\nabla\varphi\) interface model
- Phase coexistence of gradient Gibbs states
- Gaussian free fields for mathematicians
- Diffusion of color in the simple exclusion process
- Quenched invariance principles for random walks on percolation clusters
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