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math.PR2022
Generalized transport inequalities and concentration bounds for Riesz-type gases
David García-Zelada, David Padilla-Garza
This paper explores the connection between a generalized Riesz electric energy and norms on the set of probability measures defined in terms of duality. We derive functional inequa…
math.PR2022
Fluctuations of the process of moduli for the Ginibre and hyperbolic ensembles
Alexander I. Bufetov, David García-Zelada, Zhaofeng Lin
We investigate the point process of moduli of the Ginibre and hyperbolic ensembles. We show that far from the origin and at an appropriate scale, these processes exhibit Gaussian a…