From the Perron-Frobenius equation to the Fokker-Planck equation.

DOI10.1007/BF02181207zbMath1081.82600OpenAlexW1980452018MaRDI QIDQ1593241

Christian Beck

Publication date: 16 January 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02181207

zbMATH Keywords

Fokker-Planck equationscaling limits\(\Omega\)-expansioncorrections to Gaussian behaviormaps of Kaplan-Yorke typePerron-Frobenius equation

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

Related Items (8)

Stochastic differential equations driven by deterministic chaotic maps: analytic solutions of the Perron–Frobenius equation ⋮ From Ruelle's transfer operator to the Schrödinger operator ⋮ Fast chaos versus white noise: Entropy analysis and a Fokker-Planck model for the slow dynamics ⋮ The role of ergodicity and mixing in the central limit theorem for Casati-Prosen triangle map variables ⋮ Stochastic sensitivity of the closed invariant curves for discrete-time systems ⋮ Non-extensive statistical mechanics approach to fully developed hydrodynamic turbulence ⋮ On a comparative study between dependence scales determined by linear and non-linear measures ⋮ On the complex dynamics of functional-coefficients nonlinear autoregressive time series models

Cites Work

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• Ergodic properties of a kicked damped particle
• Markov partitions for dispersed billiards
• A mechanical model of Brownian motion
• Higher correlation functions of chaotic dynamical systems-a graph theoretical approach

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