Spectrum of the Frobenius-Perron operator for systems with stochastic perturbation

DOI10.1016/S0375-9601(01)00628-4zbMath1023.37003arXivnlin/0106003WikidataQ112267383 ScholiaQ112267383MaRDI QIDQ5948452

Andrzej Ostruszka, Karol Życzkowski

Publication date: 7 November 2001

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0106003

zbMATH Keywords

noisedynamical systemscorrelation exponential decay rate

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Ergodic theory (37A99) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Random dynamical systems (37H99)

Cites Work

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• On the rate of convergence to equilibrium in one-dimensional systems
• Diffusion, effusion, and chaotic scattering: An exactly solvable Liouvillian dynamics
• New extended spectral decompositions of the Renyi map
• Chaos, Scattering and Statistical Mechanics
• Random perturbations of chaotic dynamical systems: stability of the spectrum
• On the isolated spectrum of the Perron-Frobenius operator
• Unstable evolution of pointwise trajectory solutions to chaotic maps

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