Extremes of Some Gaussian Random Interfaces

Authors

Alberto Chiarini, Technische Universität Berlin
Alessandra Cipriani, Weierstrass Institute for Applied Analysis and Stochastics
Rajat Subhra Hazra, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Journal of Statistical Physics

Abstract

In this article we give a general criterion for some dependent Gaussian models to belong to maximal domain of attraction of Gumbel, following an application of the Stein–Chen method studied in Arratia et al. (Ann Probab 17(1):9–25, 1989). We also show the convergence of the associated point process. As an application, we show the conditions are satisfied by some of the well-known supercritical Gaussian interface models, namely, membrane model, massive and massless discrete Gaussian free field, fractional Gaussian free field.

First Page

521

Last Page

544

DOI

10.1007/s10955-016-1634-5

Publication Date

11-1-2016

Comments

Open Access; Green Open Access

Recommended Citation

Chiarini, Alberto; Cipriani, Alessandra; and Hazra, Rajat Subhra, "Extremes of Some Gaussian Random Interfaces" (2016). Journal Articles. 4206.
https://digitalcommons.isical.ac.in/journal-articles/4206