We propose and analyze a probabilistic model of packet reception in the steady state regime of a non-slotted wireless communication channel. It is an extension of the classical M/D/1/0 Erlang’s loss model where the interference created by different packet emissions is introduced by means of a shot-noise process. More precisely, we assume that a given packet is admitted by the single receiver if...

Parallelism in the download process of large files is an efficient mechanism for distributed systems. In such systems, some peers (clients) exploit the power of parallelism to download blocks of data stored in a distributed way over some other peers (servers). Determining response times in parallel downloading with capacity constraints on both the client downloads and server uploads necessitate...

Le tabac est responsable de 13% des décès en France et l'une principales causes maladies non transmissibles (MNT), telles que les cancers, respiratoires cardiovasculaires. Pour renforcer sa politique lutte antitabac, la a mis place un train mesures entre 2016 2020 comprenant une augmentation progressive sur trois ans du prix produits -correspondant à 41% paquet cigarettes le plus vendu, ne...

Recent work of Shareshian and Wachs, Brosnan Chow, Guay-Paquet connects the well-known Stanley-Stembridge conjecture in combinatorics to dot action symmetric group $S_n$ on cohomology rings $H^*(Hess(S,h))$ regular semisimple Hessenberg varieties. In particular, order prove conjecture, it suffices construct (for any function $h$) a permutation basis whose elements have stabilizers isomorphic Yo...