1 citations · 1 across the 7 of their papers we have counts for
7 papers
Poisson Statistics for Coulomb Gases at Intermediate Temperature Regimes
David Padilla-Garza, Luke Peilen, Eric Thoma
We consider the microscopic statistics of a Coulomb gas in at intermediate temperatures. In particular, we show that the microscopic point process associated to the…
Emergence of a Poisson process in weakly interacting particle systems
David Padilla-Garza, Luke Peilen, Eric Thoma
We consider the Gibbs measure of a general interacting particle system for a certain class of ``weakly interacting" kernels. In particular, we show that the local point process con…
Asymptotes of macroscopic observables in Gibbs measures of general interacting particle systems
David Padilla-Garza
This paper studies the Gibbs measure of an interacting particle system with a general interaction kernel at various temperature regimes. We are particularly interested in fine feat…
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…
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…
Large Deviation Principle for local empirical measure of Coulomb gases at intermediate temperature regime
David Padilla-Garza
This paper deals with Coulomb gases at an intermediate temperature regime. We define a local empirical field and identify a critical temperature scaling. We show that if the scalin…
Concentration inequality around the thermal equilibrium measure of Coulomb gases
David Padilla-Garza
This article deals with Coulomb gases at an intermediate temperature regime, in which no structure is observed at the microscopic level, but the mass in confined to a compact set.…