UNIVERSITE
Wilfrid S. Kendall (University of Warwick, UK)
Networks and Poisson line patterns : fluctuation asymptotics, true geodesics and congestion
Poisson line patterns can be used to augment general large-scale networks so as to provide short-length routes at low cost (Aldous and Kendall, /Advances in Applied Probability/ 40:1, 1-12, 2008). I will survey this work, which uses the probabilistic method and expectation asymptotics to show how randomized constructions deliver the required augmentation. I will then discuss more recent work : control of random fluctuations in short routes in Poisson line patterns, typical geodesics, and congestion issues. This is joint work with D. J. Aldous.
Dans la même rubrique :
- Andrés Almansa (Telecom-Paristech)
- Catherine Larédo (INRA)
- Christophe Garban (ENS-Lyon)
- Jean-Baptiste Gouéré (Université d’Orléans)
- Anne-Laure Fougères (Université Lyon 1)
- Laurent Mazliak (Université Pierre et Marie Curie)
- Olivier Pantz (Ecole Polytechnique)
- Bénédicte Haas (Université Paris Dauphine)
- Julien Berestycki (Université Pierre et Marie Curie)
- Olivier Faugeras (INRIA)
- Nathanaël Berestycki (Statistical Laboratory, Cambridge, UK)
- Thierry Lévy (Université Pierre et Marie Curie)
- Antoine Chambaz (MAP5)
- Sylvain Arlot (Ecole Normale Supérieure)
- J. Chaskalovic (Institut Jean le Rond d’Alembert, Université Pierre et Marie Curie)
- Cristina Butucea (Université de Marne la Vallée)
- Patrick Dehornoy (Université de Caen)
- Damien Simon (Université Pierre et Marie Curie)
- Gérard Ben Arous (Courant Institute of Mathematical Sciences, New York University)
- Emmanuelle Génin (INSERM)
