3 papers
math.PR2026
Existence, properties, and parametric inference for possibly hyperuniform Gibbs perturbed lattices
Jean-François Coeurjolly, Christopher Renaud-Chan
This work lies at the intersection of Gibbs models and hyperuniform point processes. Classical Gibbs models, whether defined on lattices or in continuous space, provide flexible to…
math.PR2026
First-order phase transition for Gibbs point processes with saturated interactions
David Dereudre, Christopher Renaud-Chan
We study first-order phase transitions in continuum Gibbs point processes with saturated interactions. These interactions form a broad class of Hamiltonians in which the local ener…
math.PR2025
Liquid-Gas phase transition for Gibbs point process with Quermass interaction
David Dereudre, Christopher Renaud-Chan
We prove the existence of a liquid-gas phase transition for continuous Gibbs point process in with Quermass interaction. The Hamiltonian we consider is a linear comb…