Inproceedings,

Diagram Representation for the Operator Approach of One-Step Processes Stochastization

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1st International Scientific Conference Convergent Cognitive Information Technologies, Convergent 2016, volume 1763 of CEUR Workshop Proceedings, page 28--34. Moscow, CEUR-WS.org, (November 2016)

Abstract

By the means of the method of stochastization of one-step processes we get the simplified mathematical model of the original stochastic system. We can explore these models by standard methods, as opposed to the original system. The process of stochastization depends on the type of the system under study. We want to get a unified abstract formalism for stochastization of one-step processes. This formalism should be equivalent to the previously introduced. To unify the methods of construction of the master equation, we propose to use the diagram technique. We get a diagram technique, which allows to unify getting master equation for the system under study.

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