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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
Large Deviations Principle for the tagged empirical field of a general interacting gas
David Padilla-Garza
This paper deals with rare events in a general {interacting gas} at high temperature, by means of Large Deviations Principles. The main result is an LDP for the tagged empirical fi…