The Rényi entropy function and the large deviation of short return times
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Publication:5188012
DOI10.1017/S0143385709000030zbMath1202.37009OpenAlexW2130509588WikidataQ105583871 ScholiaQ105583871MaRDI QIDQ5188012
Nicolai T. A. Haydn, Sandro Vaienti
Publication date: 10 March 2010
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0143385709000030
Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Large deviations (60F10)
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Cites Work
- Unnamed Item
- Unnamed Item
- Hitting, returning and the short correlation function
- Large deviations for short recurrence
- The limiting distribution and error terms for return times of dynamical systems
- Dimensions for recurrence times: topological and dynamical properties
- Recurrence, dimensions, and Lyapunov exponents.
- Multifractal analysis of local entropies for expansive homeomorphisms with specification
- Statistics of return times: A general framework and new applications
- Sharp error terms and necessary conditions for exponential hitting times in mixing processes.
- Generalized dimensions, entropies, and Lyapunov exponents from the pressure function for strange sets.
- Hitting and return times in ergodic dynamical systems
- Generalized entropies: Rényi and correlation integral approach
- Repetition times for Gibbsian sources
- A suboptimal lossy data compression based on approximate pattern matching
- Entropy fluctuations for parabolic maps
- Ergodic theory of chaos and strange attractors
- Recurrence and algorithmic information
- On a general concept of multifractality: Multifractal spectra for dimensions, entropies, and Lyapunov exponents. Multifractal rigidity
- Pesin’s dimension for Poincaré recurrences
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
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