The discrete Gaussian model. II: Infinite-volume scaling limit at high temperature.

Gaussian processes (60G15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Renormalization group methods in equilibrium statistical mechanics (82B28) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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
Height fluctuations in interacting dimers
Gibbs measures and phase transitions.
Scaling limit for a class of gradient fields with nonconvex potentials
Fluctuations for the Ginzburg-Landau \(\nabla \phi\) interface model on a bounded domain
Kosterlitz-Thouless transition line for the two dimensional Coulomb gas
Strict convexity of the free energy for a class of non-convex gradient models
Non-integrable dimers: universal fluctuations of tilted height profiles
A renormalization group analysis of the Kosterlitz-Thouless phase
Grad \(\phi\) perturbations of massless Gaussian fields
A renormalization group analysis of correlation functions for the dipole gas
Motion by mean curvature from the Ginzburg-Landau \(\nabla\phi\) interface model
Sine-Gordon revisited
Equilibrium fluctuations for \(\nabla\varphi\) interface model
Height function delocalisation on cubic planar graphs
Green kernel asymptotics for two-dimensional random walks under random conductances
Maximum of the Ginzburg-Landau fields
Delocalization of uniform graph homomorphisms from \({\mathbb{Z}}^2\) to \({\mathbb{Z}} \)
Quantitative homogenization of the disordered \(\nabla \phi \) model
A renormalisation group method. V. A single renormalisation group step
Critical two-point function of the 4-dimensional weakly self-avoiding walk
On homogenization and scaling limit of some gradient perturbations of a massless free field
Invariance principle for the random conductance model with dynamic bounded conductances
Harmonic pinnacles in the discrete Gaussian model
Subsequential tightness of the maximum of two dimensional Ginzburg-Landau fields
Phase coexistence of gradient Gibbs states
Local limit theorems for the random conductance model and applications to the Ginzburg-Landau \(\nabla \phi\) interface model
An elementary proof of phase transition in the planar XY model
Lectures on Dimers

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