Maximum of the Gaussian interface model in random external fields

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24)

Cites Work

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Existence of random gradient states
Uniqueness of gradient Gibbs measures with disorder
Extremes of some Gaussian random interfaces
Pinning and disorder relevance for the lattice Gaussian free field
Localization and delocalization of random interfaces
Tauberian theorems of exponential type
Enhanced interface repulsion from quenched hard-wall randomness
On the repulsion of an interface above a correlated substrate
The disordered lattice free field pinning model approaching criticality
The scaling limit of the membrane model
Maximum of the Ginzburg-Landau fields
Scaling limits of (\(1+1\))-dimensional pinning models with Laplacian interaction
Entropic repulsion of the massless field with a class of self-potentials
A note on the discrete Gaussian free field with disordered pinning on \(\mathbb Z^d\), \(d\geq 2\)
Nonexistence of random gradient Gibbs measures in continuous interface models in \(d=2\)
Deviations of a random walk in a random scenery with stretched exponential tails
Behavior of the lattice Gaussian free field with weak repulsive potentials
Probability theory
Concentration inequalities. A nonasymptotic theory of independence
Extremes of the supercritical Gaussian free field
Laplacian interface models with strictly convex potential
Extrema of the Two-Dimensional Discrete Gaussian Free Field
Entropic repulsion for a Gaussian lattice field with certain finite range interaction
Random-field random surfaces
Convergence to the thermodynamic limit for random-field random surfaces

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