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Teor. Veroyatnost. i Primenen., 2016, Volume 61, Issue 2, Pages 394–404 (Mi tvp5063)  

Short Communications

Convergence rate in stochastic particle systems with synchronization

V. V. Karpushin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A multidimensional Markov process $x(t) = (x_1(t),\ldots, x_N(t))$, $t \in \mathbf{R}_+$, describing a system of $N$ identical Brownian particles with synchronizing interaction is considered. In relative coordinates, connected with the moving observer, similar upper and lower bounds of the rate of convergence to the limit distribution of the distance metric for variation are obtained.

DOI: https://doi.org/10.4213/tvp5063

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English version:
Theory of Probability and its Applications, 2017, 61:2, 345–355

Bibliographic databases:

Received: 08.03.2015
Revised: 05.11.2015

Citation: V. V. Karpushin, “Convergence rate in stochastic particle systems with synchronization”, Teor. Veroyatnost. i Primenen., 61:2 (2016), 394–404; Theory Probab. Appl., 61:2 (2017), 345–355

Citation in format AMSBIB
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