Maximum and entropic repulsion for a Gaussian membrane model in the critical dimension
Probability
2009-06-11 v3
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. 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.
Keywords
Cite
@article{arxiv.0801.0551,
title = {Maximum and entropic repulsion for a Gaussian membrane model in the critical dimension},
author = {Noemi Kurt},
journal= {arXiv preprint arXiv:0801.0551},
year = {2009}
}
Comments
Published in at http://dx.doi.org/10.1214/08-AOP417 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)