Titlebook: Asymptotic Methods for the Fokker-Planck Equation and the Exit Problem in Applications; Johan Grasman,Onno A. Herwaarden Book 1999 Springe

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The Fokker—Planck Equation: First Exit from a DomainIn the previous chapter we saw that from a stochastic process.we can compute the statistical moments of ..(.) for some . › 0 only for simple examples or with perturbation methods for a short time.

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The Fokker—Planck Equation: One DimensionLet us consider a stochastic process described by the scalar . with probability density ., . satisfying .for 0 < . < 1 and. > 0

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Stochastic OscillationThe stochastic dynamics of an oscillator we study from a second order differential equation of the type.where ξ = (ξ.(.),…, ξ.(.)) with ξ.(.), . =1, ..., . being independent noise processes.

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Johan Grasman,Onno A. HerwaardenThis is probably the first monograph that treats the asympotic methods which are eminently important for practical applications.Includes supplementary material:

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