Occurence Probabilities of Stochastic Paths

Details Occurence Probabilities of Stochastic Paths Occurence Probabilities of Stochastic Paths

1998-05-25

arxiv.org/abs/cond-mat/9805324v1

Physics Letters A 212, 130-137 (1995)

Physics

Condensed Matter

Statistical Mechanics

For related work see http://www.theo2.physik.uni-stuttgart.de/helbing.html

Scientific paper

10.1016/0375-9601(96)00010-2

An analytical formula for the occurence probability of Markovian stochastic paths with repeatedly visited and/or equal departure rates is derived. This formula is essential for an efficient investigation of the trajectories belonging to random walk models and for a numerical evaluation of the `contracted path integral solution' of the discrete master equation [Phys. Lett. A 195, 128 (1994)].

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