Abstract:
plan to talk about several problems of extremal statistics in which
unusual (but related to each other) features arise: a) statistics of
two-dimensional "stretched" random walks over a semicircle, b) spectral
properties of sparse random matrices, c) statistics of one-dimensional
paths in the Poisson trap field. I suppose to discuss the relationship
of these problems with the Anderson localization in 1D, and with some
number-theoretic properties of eta-Dedekind function.
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