On Decoupling Inequalities and Percolation of Excursion Sets of the Gaussian Free Field

Popov, Serguei; Rath, Balazs

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On Decoupling Inequalities and Percolation of Excursion Sets of the Gaussian Free Field

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Author(s):	Popov, Serguei ^[1] ; Rath, Balazs ^[2] Total Authors: 2
Affiliation:	^[1] Univ Campinas UNICAMP, Inst Math Stat & Sci Computat, Dept Stat, BR-13083859 Campinas, SP - Brazil ^[2] Tech Univ Budapest, Inst Math, MTA BME Stochast Res Grp, H-1111 Budapest - Hungary Total Affiliations: 2
Document type:	Journal article
Source:	Journal of Statistical Physics; v. 159, n. 2, p. 312-320, APR 2015.
Web of Science Citations:	14
Abstract
We prove decoupling inequalities for the Gaussian free field on , . As an application, we obtain exponential decay (with logarithmic correction for ) of the connectivity function of excursion sets for large values of the threshold. (AU)

FAPESP's process:	09/52379-8 - Stochastic modeling of interacting systems
Grantee:	Fabio Prates Machado
Support Opportunities:	Research Projects - Thematic Grants

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