14 citations · 65 across the 24 of their papers we have counts for
30 papers
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…
Rigidity of one-dimensional point processes via optimal transport
David Dereudre, Rafaël Digneaux
We investigate rigidity phenomena in one-dimensional point processes. We show that the existence of an transport map from a stationary lattice or the Lebesgue measure to a po…
Absence of percolation for infinite Poissonian systems of stopped paths
David Coupier, David Dereudre, Jean-Baptiste Gouéré
The state space of our model is the Euclidean space in dimension d = 2. Simultaneously, from all points of a homogeneous Poisson point process, we let grow independent and identica…
(Non)-hyperuniformity of perturbed lattices
David Dereudre, Daniela Flimmel, Martin Huesmann +1
We ask whether a stationary lattice in dimension whose points are shifted by identically distributed but possibly dependent perturbations remains hyperuniform. When or…
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…
Non-hyperuniformity of Gibbs point processes with short range interaction
David Dereudre, Daniela Flimmel
We investigate the hyperuniformity of marked Gibbs point processes with weak dependencies among distant points whilst the interactions of close points are kept arbitrary. Some vari…