425 citations
- École PolytechniqueFR10 papers
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- Université Paris-Est CréteilFR2 papers
- Centre de Mathématiques Laurent SchwartzFR1 paper
- Centro de Recursos Educativos AvanzadosCL1 paper
- Cheikh Anta Diop UniversitySN1 paper
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- Électricité de France (France)FR1 paper
5 papers · 1 filter
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…
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…
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…
Binding Social and Cultural Networks: A Model
Camille Roth, Paul Bourgine
Until now, most studies carried onto social or semantic networks have considered each of these networks independently. Our goal here is to bring a formal frame for studying both ne…
Counting Integer flows in Networks
W. Baldoni-Silva, J. A. De Loera, M. Vergne
This paper discusses new analytic algorithms and software for the enumeration of all integer flows inside a network. Concrete applications abound in graph theory \cite{Jaeger}, rep…