Functional Integral Approach to the Solution of a System of Stochastic Differential Equations
A new method for the evaluation of the characteristics of the solution of a system of stochastic differential equations is presented. This method is based on the representation of a probability density function p through a functional integral. The functional integral representation is obtained by me...
Main Authors: | , , , , |
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Format: | Article |
Language: | English |
Published: |
EDP Sciences
2018-01-01
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Series: | EPJ Web of Conferences |
Online Access: | https://doi.org/10.1051/epjconf/201817302003 |
Summary: | A new method for the evaluation of the characteristics of the solution of a system of stochastic differential equations is presented. This method is based on the representation of a probability density function p through a functional integral. The functional integral representation is obtained by means of the Onsager-Machlup functional technique for a special case when the diffusion matrix for the SDE system defines a Riemannian space with zero curvature. |
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ISSN: | 2100-014X |