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On Point Processes Defined by Angular Conditions on Delaunay Neighbors in the Poisson-Voronoi Tessellation
François Baccelli, Sanket S. Kalamkar
Consider a homogeneous Poisson point process of the Euclidean plane and its Voronoi tessellation. The present note discusses the properties of two stationary point processes associ…
A computational framework for evaluating the role of mobility on the propagation of epidemics on point processes
François Baccelli, Nithin Ramesan
This paper is focused on SIS (Susceptible-Infected-Susceptible) epidemic dynamics (also known as the contact process) on populations modelled by homogeneous Poisson point processes…
Nash equilibrium structure of Cox process Hotelling games
Venkat Anantharam, Francois Baccelli
We study an N-player game where a pure action of each player is to select a non-negative function on a Polish space supporting a finite diffuse measure, subject to a finite constra…
Replica-Mean-Field Limits of Fragmentation-Interaction-Aggregation Processes
François Baccelli, Michel Davydov, Thibaud Taillefumier
Network dynamics with point-process-based interactions are of paramount modeling interest. Unfortunately, most relevant dynamics involve complex graphs of interactions for which an…