From order to chaos - Pisa 2018

poster: The hyperbolic-type point process

speaker: Pierre Lazag (CNRS - Aix-Marseille Universite)

abstract: We introduce a generalized version of the point process with the Bergman kernel which describes the zero distribution of random gaussian holomorphic functions in the Poincaré disc. Thanks to a new and direct geometric method, we explicetely compute the variance of the number of points inside a smaller disc for this process in terms of areas of lunules. We also give an asymptotic result which in particular implies a central limit theorem. This is a joint work with Pr. Nizar Demni.

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