Header

UZH-Logo

Maintenance Infos

Maximum and entropic repulsion for a Gaussian membrane model in the critical dimension


Kurt, N (2009). Maximum and entropic repulsion for a Gaussian membrane model in the critical dimension. The Annals of Probability, 37(2):687-725.

Abstract

We consider the real-valued centered Gaussian field on the four-dimensional integer lattice, whose covariance matrix is given by the Green’s function of the discrete Bilaplacian. This is interpreted as a model for a semiflexible membrane. d=4 is the critical dimension for this model. We discuss the effect of a hard wall on the membrane, via a multiscale analysis of the maximum of the field. We use analytic and probabilistic tools to describe the correlation structure of the field.

Abstract

We consider the real-valued centered Gaussian field on the four-dimensional integer lattice, whose covariance matrix is given by the Green’s function of the discrete Bilaplacian. This is interpreted as a model for a semiflexible membrane. d=4 is the critical dimension for this model. We discuss the effect of a hard wall on the membrane, via a multiscale analysis of the maximum of the field. We use analytic and probabilistic tools to describe the correlation structure of the field.

Statistics

Citations

Dimensions.ai Metrics
10 citations in Web of Science®
10 citations in Scopus®
19 citations in Microsoft Academic
Google Scholar™

Altmetrics

Downloads

31 downloads since deposited on 05 Nov 2009
0 downloads since 12 months
Detailed statistics

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2009
Deposited On:05 Nov 2009 14:06
Last Modified:23 Nov 2018 18:59
Publisher:Institute of Mathematical Statistics
ISSN:0091-1798
OA Status:Green
Publisher DOI:https://doi.org/10.1214/08-AOP417
Related URLs:http://www.ams.org/mathscinet-getitem?mr=2510021

Download

Download PDF  'Maximum and entropic repulsion for a Gaussian membrane model in the critical dimension'.
Preview
Filetype: PDF
Size: 1MB
View at publisher