779 citations
- École PolytechniqueFR888 papers
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- Institut national de recherche en sciences et technologies du numériqueFR124 papers
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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…