TY - INPR
A1 - Plimak, L.I.
A1 - Fleischhauer, M.
A1 - Collett, M. J.
T1 - Diagram expansions in classical stochastic field theory / Diagram series and stochastic differential equations
N2 - We show that the solution to an arbitrary c-number stochastic differential equation (SDE) can be represented as a diagram series. Both the diagram rules and the properties of the graphical elements reflect causality properties of the SDE and this series is therefore called a causal diagram series. We also discuss the converse problem, i.e. how to construct an SDE of which a formal solution is a given causal diagram series. This then allows for a nonperturbative summation of the diagram series by solving this SDE, numerically or analytically.
Y1 - 1999
UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1217
UR - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:hbz:386-kluedo-11500
ER -