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تسجيل مستخدم جديدMaximum and entropic repulsion for a Gaussian membrane model in the critical dimension
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Noemi Kurt
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We consider the real-valued centered Gaussian field on the four-dimensional integer lattice, whose covariance matrix is given by the Greens 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.
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