Abstract
Field-theoretic construction of functional representations of solutions of stochastic differential equations and master equations is reviewed. A generic expression for the generating function of Green functions of stochastic systems is put forward. Relation of ambiguities in stochastic differential equations and in the functional representations is discussed. Ordinary differential equations for expectation values and correlation functions are inferred with the aid of a variational approach.
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Honkonen, J. (2012). Functional Methods in Stochastic Systems. In: Adam, G., Buša, J., Hnatič, M. (eds) Mathematical Modeling and Computational Science. MMCP 2011. Lecture Notes in Computer Science, vol 7125. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28212-6_6
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DOI: https://doi.org/10.1007/978-3-642-28212-6_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-28211-9
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