5 citations · 6 across the 6 of their papers we have counts for
7 papers
Pathwise Large deviations for the pure jump -nary interacting particle systems
Wen Sun
A pathwise large deviation result is proved for the pure jump models of -nary interacting particle system introduced by Kolokoltsov that generalize classical Boltzmann's collisi…
Analysis of Large Urn Models with Local Mean-Field Interactions
Wen Sun, Philippe Robert
The stochastic models investigated in this paper describe the evolution of a set of identical balls scattered into urns connected by an underlying symmetrical graph with…
On the Asymptotic Distribution of Nucleation Times of Polymerization Processes
Philippe Robert, Wen Sun
In this paper, we investigate a stochastic model describing the time evolution of a polymerization process. A polymer is a macro-molecule resulting from the aggregation of several…
A Functional Central Limit Theorem for the Becker-Döring model
Wen Sun
We investigate the fluctuations of the stochastic Becker-Döring model of polymerization when the initial size of the system converges to infinity. A functional central limit proble…
Analysis of a Stochastic Model of Replication in Large Distributed Storage Systems: A Mean-Field Approach
Wen Sun, Véronique Simon, Sébastien Monnet +2
Distributed storage systems such as Hadoop File System or Google File System (GFS) ensure data availability and durability using replication. This paper is focused on the analysis…
A Large Scale Analysis of Unreliable Stochastic Networks
Reza Aghajani, Philippe Robert, Wen Sun
The problem of reliability of a large distributed system is analyzed via a new mathematical model. A typical framework is a system where a set of files are duplicated on several da…
Analysis of Large Unreliable Stochastic Networks
Wen Sun, Mathieu Feuillet, Philippe Robert
In this paper a stochastic model of a large distributed system where users' files are duplicated on unreliable data servers is investigated. Due to a server breakdown, a copy of a…