2 papers
math.PR2021
Number-Rigidity and -Circular Riesz gas
David Dereudre, Thibaut Vasseur
For an inverse temperature , we define the -circular Riesz gas on as any microscopic thermodynamic limit of Gibbs particle systems on the torus interacting v…
math.PR2019
Existence of Gibbs point processes with stable infinite range interaction
David Dereudre, Thibaut Vasseur
We provide a new proof of the existence of Gibbs point processes with infinite range interactions, based on the compactness of entropy levels. Our main existence theorem holds unde…