On the enhancement of diffusion by chaos, escape rates and stochastic instability

DOI10.1090/S0002-9947-99-02023-1zbMath0919.58038OpenAlexW1480493936MaRDI QIDQ4243630

Bernard Schmitt, Servet Martínez, Pierre Collet

Publication date: 19 May 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02023-1

zbMATH Keywords

noisediffusioninstabilitychaosinvariant measureescape rateone-dimensional dynamical systemspiecewise expanding maps

Mathematics Subject Classification ID

Ergodic theory (37A99) Markov processes (60J99)

Cites Work

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• Ergodic properties of invariant measures for piecewise monotonic transformations
• Stochastic stability in some chaotic dynamical systems
• On the spectra of randomly perturbed expanding maps
• Asymptotic laws for one-dimensional diffusions conditioned to nonabsorption
• Stochastic stability versus localization in one-dimensional chaotic dynamical systems
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations

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