8 papers
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…
Fully-connected bond percolation on
David Dereudre
We consider the bond percolation model on the lattice () with the constraint to be fully connected. Each edge is open with probability , closed wi…
Existence and percolation results for stopped germ-grain models with unbounded velocities
David Coupier, David Dereudre, Simon Le Stum
We investigate the existence and first percolation properties of general stopped germ-grain models. They are defined via a random set of germs generated by a homogeneous planar Poi…
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…
DLR equations and rigidity for the Sine-beta process
David Dereudre, Adrien Hardy, Thomas Leblé +1
We investigate Sine, the universal point process arising as the thermodynamic limit of the microscopic scale behavior in the bulk of one-dimensional log-gases, or -ensembles…
Sharp phase transition for the continuum Widom-Rowlinson model
David Dereudre, Pierre Houdebert
The Widom-Rowlinson model (or the Area-interaction model) is a Gibbs point process in with the formal Hamiltonian , where $ω…