The large deviations theorem and sensitivity

DOI10.1016/J.CHAOS.2009.01.036zbMath1198.37013OpenAlexW2051024411MaRDI QIDQ603488

Yingxuan Niu

Publication date: 7 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2009.01.036

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (8)

Strong sensitivity of systems satisfying the large deviations theorem ⋮ On the Large Deviations Theorem of Weaker Types ⋮ On the large deviations theorem and ergodicity ⋮ On strong ergodicity and chaoticity of systems with the asymptotic average shadowing property ⋮ A note on shadowing with chain transitivity ⋮ Several sufficient conditions for a map and a semi-flow to be ergodically sensitive ⋮ The central limit theorem and ergodicity ⋮ Study on Strong Sensitivity of Systems Satisfying the Large Deviations Theorem

Cites Work

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• Decay of correlations
• The large deviations theorem and ergodicity
• On the nature of turbulence
• On Devaney's Definition of Chaos
• Period Three Implies Chaos
• On Intervals, Transitivity = Choas
• Disjointness and Weak Mixing of Minimal Sets
• Devaney's chaos or 2-scattering implies Li-Yorke's chaos

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