A Ray-Knight theorem for $\nabla \phi$ interface models and scaling limits

Random fields (60G60) Sums of independent random variables; random walks (60G50) 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)

Cites Work

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Coupling and an application to level-set percolation of the Gaussian free field
Topics in occupation times and Gaussian free fields
An isomorphism theorem for random interlacements
Cover times, blanket times, and majorizing measures
Decay of covariances, uniqueness of ergodic component and scaling limit for a class of $\nabla\phi$ systems with non-convex potential
Delocalization of two-dimensional random surfaces with hard-core constraints
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
From loop clusters and random interlacements to the free field
Inverting Ray-Knight identity
Grad $\phi$ perturbations of massless Gaussian fields
Vacant set of random interlacements and percolation
Markov loops and renormalization
Random walk on a discrete torus and random interlacements
Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
Tightness of probability measures in D([0,T;C) and D([0,T];D)]
Infinite dimensional stochastic differential equations and their applications
On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
On the correlation for Kac-like models in the convex case
Motion by mean curvature from the Ginzburg-Landau $\nabla\phi$ interface model
Large deviations and concentration properties for $\nabla_\varphi $ interface models
Limit theory for random walks in degenerate time-dependent random environments
On pinned fields, interlacements, and random walk on $({\mathbb {Z}}/N {\mathbb {Z}})^2$
Quenched invariance principle for random walks with time-dependent ergodic degenerate weights
A Ray-Knight theorem for symmetric Markov processes.
Dominos and the Gaussian free field.
Equilibrium fluctuations for $\nabla\varphi$ interface model
On clusters of Brownian loops in $d$ dimensions
On scaling limits and Brownian interlacements
The geometry of random walk isomorphism theorems
Concentration inequalities for log-concave distributions with applications to random surface fluctuations
Cluster capacity functionals and isomorphism theorems for Gaussian free fields
The first passage sets of the 2D Gaussian free field: convergence and isomorphisms
Thick points of random walk and the Gaussian free field
Quantitative homogenization of the disordered $\nabla \phi $ model
Dynkin isomorphism and Mermin-Wagner theorems for hyperbolic sigma models and recurrence of the two-dimensional vertex-reinforced jump process
Inverting the coupling of the signed Gaussian free field with a loop-soup
On homogenization and scaling limit of some gradient perturbations of a massless free field
Level set percolation for random interlacements and the Gaussian free field
Asymptotics of cover times via Gaussian free fields: bounded-degree graphs and general trees
Multidimensional diffusion processes.
On estimating the derivatives of symmetric diffusions in stationary random environment, with applications to $\nabla\varphi$ interface model
Sojourn times of diffusion processes
Local limit theorems for the random conductance model and applications to the Ginzburg-Landau $\nabla \phi$ interface model
Covariant Symanzik identities
Critical exponents for a percolation model on transient graphs
Gaussian Hilbert Spaces
$C^2$ regularity of the surface tension for the $\nabla \phi$ interface model
An Introduction to Random Interlacements
Markov Processes, Gaussian Processes, and Local Times
Random Walks and A Sojourn Density Process of Brownian Motion

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A Ray-Knight theorem for \(\nabla \phi\) interface models and scaling limits