Conférence - Géométrie Stochastique

Mercredi, 6 Avril, 2016 - 16:00 - 16:40
Jonas Khan
CNRS, Université de Toulouse
An improper Poisson line process is a SIRSN
Résumé: 

Aldous has introduced a notion of scale-invariant random spatial network (SIRSN) as a mathematical abstraction of road networks. Intuitively, those are random processes that assign a route between each pair of points in Euclidean space, while being invariant under rotation, translation, and change of scale, and such that the routes are not too long and mainly lie on “main roads”. The only known example was somewhat artificial. The Poisson line process studied by Kendall has been suggested as a more natural candidate. We prove that the network of geodesics of that random metric space is indeed a SIRSN in any dimension.

slides

Partenaires

Irmar LMJL ENS Rennes LMBA LAREMA

Tutelles

ANR CNRS Rennes 1 Rennes 2 Nantes INSA Rennes INRIA ENSRennes UBO UBS Angers UBL