High points for the membrane model in the critical dimension
نویسندگان
چکیده
منابع مشابه
High points for the membrane model in the critical dimension ∗
In this notice we study the fractal structure of the set of high points for the membrane model in the critical dimension d = 4. The membrane model is a centered Gaussian field whose covariance is the inverse of the discrete bilaplacian operator on Z. We are able to compute the Hausdorff dimension of the set of points which are atypically high, and also that of clusters, showing that high points...
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2013
ISSN: 1083-6489
DOI: 10.1214/ejp.v18-2750