Entropic repulsion of the lattice free field. II: The \(0\)-boundary case

DOI10.1007/BF02101291zbMath0868.60019MaRDI QIDQ679393

Jean-Dominique Deuschel

Publication date: 18 August 1997

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

entropic repulsionGaussian field with covariancesGreen function of the simple random walknearest neighbor quadratic interaction

Mathematics Subject Classification ID

Large deviations (60F10) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21)

Related Items (15)

Entropic repulsion and the maximum of the two-dimensional harmonic crystal. ⋮ Entropic repulsion for massless fields. ⋮ The disordered lattice free field pinning model approaching criticality ⋮ Estimates for the Green's function of the discrete Bilaplacian in dimensions 2 and 3 ⋮ Entropic repulsion for the high dimensional Gaussian lattice field between two walls ⋮ Behavior of the lattice Gaussian free field with weak repulsive potentials ⋮ Exponential and double exponential tails for maximum of two-dimensional discrete Gaussian free field ⋮ On the probability of staying above a wall for the \((2+1)\)-dimensional SOS model at low temperature ⋮ Entropic repulsion of 3D Ising interfaces conditioned to stay above a floor ⋮ A branching random walk in the presence of a hard wall ⋮ Absence of a wetting transition for a pinned harmonic crystal in dimensions three and larger ⋮ Disorder and wetting transition: the pinned harmonic crystal in dimension three or larger ⋮ The serial harness interacting with a wall ⋮ Wetting of gradient fields: pathwise estimates ⋮ Probability to be positive for the membrane model in dimensions 2 and 3

Cites Work

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• On the microscopic validity of the Wulff construction and of the generalized Young equation
• Gibbs measures and phase transitions
• Diffusion equation techniques in stochastic monotonicity and positive correlations
• Critical large deviations for Gaussian fields in the phase transition regime. I
• Harmonic crystal on the wall: A microscopic approach
• Entropic repulsion of the lattice free field
• The construction of the \(d+1\)-dimensional Gaussian droplet
• Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory

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