Optimal Markovian Coupling and Exponential Convergence Rate for the TCP Process  

作　　者：Jian Hai BAO Jing Hai SHAO 

机构地区：[1]Center for Applied Mathematics,Tianjin University,Tianjin 300072,P.R.China [2]Department of Mathematics,Central South University,Changsha 410083,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2021年第3期378-388,共11页数学学报（英文版）

基　　金：Supported NNSF of China(Grant Nos.11771327,2018JJ2478,11831014,12071340)。

摘　　要：In this work, by constructing optimal Markovian couplings we investigate exponential convergence rate in the Wasserstein distance for the transmission control protocol process. Most importantly, we provide a variational formula for the lower bound of the exponential convergence rate.

关 键 词：TCP process ERGODICITY optimal Markovian coupling Wasserstein distance 

分 类 号：O211.6[理学—概率论与数理统计]