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Title: Nonstationary Feller process with time-varying coefficients
Author: Masoliver, Jaume, 1951-
Keywords: Física matemàtica
Processos estocàstics
Mathematical physics
Stochastic processes
Issue Date: 13-Jan-2016
Publisher: American Physical Society
Abstract: We study the nonstationary Feller process with time varying coefficients. We obtain the exact probability distribution exemplified by its characteristic function and cumulants. In some particular cases we exactly invert the distribution and achieve the probability density function. We show that for sufficiently long times this density approaches a Γ distribution with time-varying shape and scale parameters. Not far from the origin the process obeys a power law with an exponent dependent of time, thereby concluding that accessibility to the origin is not static but dynamic. We finally discuss some possible applications of the process.
Note: Reproducció del document publicat a:
It is part of: Physical Review E, 2016, vol. 93, p. 012122-1 -012122-11
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ISSN: 1539-3755
Appears in Collections:Articles publicats en revistes (Física de la Matèria Condensada)

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