Limit dynamics for stochastic models of data exchange in parallel computation networks

Limit dynamics for stochastic models of data exchange in parallel computation networks We study limit dynamics of a system of interacting particles, which is one of possible models for the parallel and distributed computation process. For a rather wide class of multi-particle interactions, we prove that the stochastic process describing the configuration of a particle system weakly converges in the fluid-dynamic limit to a deterministic process, which is a solution of a certain partial differential equation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

Limit dynamics for stochastic models of data exchange in parallel computation networks

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Publisher
Nauka/Interperiodica
Copyright
Copyright © 2006 by Pleiades Publishing, Inc.
Subject
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1134/S0032946006030070
Publisher site
See Article on Publisher Site

Abstract

We study limit dynamics of a system of interacting particles, which is one of possible models for the parallel and distributed computation process. For a rather wide class of multi-particle interactions, we prove that the stochastic process describing the configuration of a particle system weakly converges in the fluid-dynamic limit to a deterministic process, which is a solution of a certain partial differential equation.

Journal

Problems of Information TransmissionSpringer Journals

Published: Oct 18, 2006

References

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