Persistence distributions for non gaussian markovian processes

Details Persistence distributions for non gaussian markovian processes Persistence distributions for non gaussian markovian processes

2000-09-21

arxiv.org/abs/cond-mat/0009322v1

Europhys. Lett. 52 (4),pp. 379-385 (2000)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 1 figure, to be published in Europhysics Letters

Scientific paper

10.1209/epl/i2000-00449-1

We propose a systematic method to derive the asymptotic behaviour of the
persistence distribution, for a large class of stochastic processes described
by a general Fokker-Planck equation in one dimension. Theoretical predictions
are compared to simple solvable systems and to numerical calculations. The very
good agreement attests the validity of this approach.

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