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Total variation estimates for the TCP process


 
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1. Title Title of document Total variation estimates for the TCP process
 
2. Creator Author's name, affiliation, country Jean-Baptiste Bardet; Université de Rouen; France
 
2. Creator Author's name, affiliation, country Alejandra Christen; Pontificia Universidad Católica de Valparaíso; Chile
 
2. Creator Author's name, affiliation, country Arnaud Guillin; Université Blaise Pascal; France
 
2. Creator Author's name, affiliation, country Florent Malrieu; Université de Rennes 1; France
 
2. Creator Author's name, affiliation, country Pierre-André Zitt; Université de Bourgogne
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Network Protocols; Queueing Theory; Additive Increase Multiplicative Decrease Processes (AIMD); Piecewise Deterministic Markov Processes (PDMP); Exponential Ergodicity; Coupling
 
3. Subject Subject classification 68M12 ; 60K30 ; 60K25 ; 90B18
 
4. Description Abstract The TCP window size process appears in the modeling of the famous Transmission Control Protocol used for data transmission over the Internet. This continuous time Markov process takes its values in [0, ∞), is ergodic and irreversible. The sample paths are piecewise linear deterministic and the whole randomness of the dynamics comes from the jump mechanism. The aim of the present paper is to provide quantitative estimates for the exponential convergence to equilibrium, in terms of the total variation and Wasserstein distances.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) Agence Nationale de la Recherche ; CONYCIT ; MECESUP
 
7. Date (YYYY-MM-DD) 2013-01-17
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/1720
 
10. Identifier Digital Object Identifier 10.1214/EJP.v18-1720
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 18
 
12. Language English=en en
 
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