Extremes of some Gaussian random interfaces

DOI10.1007/s10955-016-1634-5zbMath1367.82003arXiv1509.08903OpenAlexW2233386965MaRDI QIDQ523195

Rajat Subhra Hazra, Alessandra Cipriani, Alberto Chiarini

Publication date: 20 April 2017

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.08903

zbMATH Keywords

interfacesmembrane modelGaussian free fieldStein-Chen methodextremes

Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

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Cites Work

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• High points for the membrane model in the critical dimension
• Topics in occupation times and Gaussian free fields
• Convergence of the centered maximum of log-correlated Gaussian fields
• Entropic repulsion for a class of Gaussian interface models in high dimensions
• A note on the extremal process of the supercritical Gaussian free field
• Maximum and entropic repulsion for a Gaussian membrane model in the critical dimension
• Two moments suffice for Poisson approximations: The Chen-Stein method
• Gibbs measures and phase transitions
• Entropic repulsion and the maximum of the two-dimensional harmonic crystal.
• Entropic repulsion of the lattice free field
• Phase transition and level-set percolation for the Gaussian free field
• Extremes of the discrete two-dimensional Gaussian free field
• High-dimensional asymptotics for percolation of Gaussian free field level sets
• Extreme local extrema of two-dimensional discrete Gaussian free field
• Extremes of the supercritical Gaussian Free Field
• Mill's ratio for multivariate normal distributions
• Convergence in Law of the Maximum of the Two‐Dimensional Discrete Gaussian Free Field
• Markov processes and random fields
• Gaussian Hilbert Spaces
• Entropic repulsion for a Gaussian lattice field with certain finite range interaction
• Statistical Mechanics of Lattice Systems
• Heavy-Tail Phenomena
• Limit Theorems for the Maximum Term in Stationary Sequences