249 citations
- Aix-Marseille UniversitéFR16 papers
- Université de ToulonFR16 papers
- Centre National de la Recherche ScientifiqueFR15 papers
- Center for Pastor TheologiansUS5 papers
- École PolytechniqueFR5 papers
- Physique des interactions ioniques et moléculairesFR3 papers
- Université Paris CitéFR3 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR2 papers
- Institut de Neurobiologie de la MéditerranéeFR2 papers
- Laboratoire de physique des SolidesFR2 papers
- Sapienza University of RomeIT2 papers
- Université Paris-SudFR2 papers
7 papers · 1 filter
Self-averaging property of queuing systems
Alexandre Rybko, Senya Shlosman, Alexandre Vladimirov
We establish the averaging property for a queuing process with one server, M(t)/GI/1. It is a new relation between the output flow rate and the input flow rate, crucial in the stud…
Concentration inequalities for random fields via coupling
J. -R. Chazottes, P. Collet, C. Kuelske +1
We present a new and simple approach to concentration inequalities for functions around their expectation with respect to non-product measures, i.e., for dependent random variables…
On approximate pattern matching for a class of Gibbs random fields
Jean-Rene Chazottes, Frank Redig, Evgeny Verbitskiy
We prove an exponential approximation for the law of approximate occurrence of typical patterns for a class of Gibssian sources on the lattice , . From this re…
On the concentration of Sinai's walk
Pierre Andreoletti
We consider Sinai's random walk in random environment. We prove that for an interval of time [1,n] Sinai's walk sojourns in a small neighborhood of the point of localization for th…
Poisson Hypothesis for Information Networks (A study in non-linear Markov processes) I. Domain of Validity
A. Rybko, S. Shlosman
In this paper we study the Poisson Hypothesis, which is a device to analyze approximately the behavior of large queueing networks. We prove it in some simple limiting cases. We sho…
A representation of Gibbs measure for the random energy model
Marie F. Kratz, Pierre Picco
In this work we consider a problem related to the equilibrium statistical mechanics of spin glasses, namely the study of the Gibbs measure of the random energy model. For solving t…