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arXiv · 1210.6735

Algebraic probability, classical stochastic processes, and counting statistics

Jun Ohkubo
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Abstract

We study a connection between the algebraic probability and classical stochastic processes described by master equations. Introducing a definition of a state which has not been used for quantum cases, the classical stochastic processes can be reformulated in terms of the algebraic probability. This reformulation immediately gives the Doi-Peliti formalism, which has been frequently used in nonequilibrium physics. As an application of the reformulation, we give a derivation of basic equations for counting statistics, which plays an important role in nonequilibrium physics.

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Jun Ohkubo. 2012-10-25. Algebraic probability, classical stochastic processes, and counting statistics. https://doi.org/10.7566/jpsj.82.084001

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