425 citations
- École PolytechniqueFR10 papers
- Centre National de la Recherche ScientifiqueFR5 papers
- Université Paris NanterreFR4 papers
- Centre de Recherche en Épistémologie AppliquéeFR2 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR2 papers
- Laboratoire de Physique de l'Ecole Normale SupérieureFR2 papers
- Université Paris-Est CréteilFR2 papers
- Centre de Mathématiques Laurent SchwartzFR1 paper
- Centro de Recursos Educativos AvanzadosCL1 paper
- Cheikh Anta Diop UniversitySN1 paper
- EDF Energy North AmericaUS1 paper
- Électricité de France (France)FR1 paper
Showing 2003 · math.PRShow all
3 papers · 2 filters
math.PR2003★ 2 cited
A criterion for Talagrand's quadratic transportation cost inequality
Patrick Cattiaux, Arnaud Guillin
We show that the quadratic transportation cost inequality is equivalent to both a Poincaré inequality and a strong form of the Gaussian concentration property. The main ingre…
math.PR2003
Out of equilibrium functional central limit theorems for a large network where customers join the shortest of several queues
Carl Graham
Customers arrive at rate N times alpha on a network of N single server infinite buffer queues, choose L queues uniformly, join the shortest one, and are served there in turn at rat…
math.PR2003★ 1 cited
A functional central limit theorem in equilibrium for a large network in which customers join the shortest of several queues
Carl Graham
We consider N single server infinite buffer queues with service rate beta. Customers arrive at rate N times alpha,choose L queues uniformly, and join the shortest one. The stabilit…