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math.ST2024
On the spatial extent of extreme threshold exceedances
Ryan Cotsakis, Elena Di Bernardino, Thomas Opitz
We introduce the extremal range, a local statistic for studying the spatial extent of extreme events in random fields on . Conditioned on exceedance of a high thresho…
math.PR2024
On the Euler-Poincaré Characteristic of the planar Berry's random wave: fluctuations and a perturbation study
Elena Di Bernardino, Radomyra Shevchenko, Anna Paola Todino
We prove the Central Limit Theorem for the Euler-Poincaré characteristic of Berry's random wave model in a growing domain. We also show Gaussian fluctuations for a class of Berry's…