David Coupier (Valenciennes), Dieter Mitsche (Saint-Etienne)
14:00 David Coupier (Université Polytechnique Hauts-de-France, Valenciennes)
Title: Infinite branches of two geometric random graphs in Euclidean and hyperbolic spaces.
Abstract: After recalling some basic facts on hyperbolic geometry, we will describe the continuum percolation model which presents radically differents behaviors in Eucliean and hyperbolic spaces. This will be our motivation to study the infinite branches (i.e. the topological ends) of two geometric random graphs, namely the Radial Spanning Tree (RST) and the Directed Spanning Forest (DSF), and then to possibly exhibit some different behaviors between Eucliean and hyperbolic spaces...
15:30 Dieter Mitsche (Université Jean Monnet, Saint-Étienne)