4 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…
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…