On exact statistics and classification of ergodic systems of integer dimension

DOI10.1063/1.4881890zbMath1345.37005arXiv1311.7157OpenAlexW1979130340WikidataQ48683139 ScholiaQ48683139MaRDI QIDQ2821555

Cengiz Pehlevan, Zachary Guralnik, Gerald Guralnik

Publication date: 21 September 2016

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.7157

Mathematics Subject Classification ID

Dynamical systems and their relations with probability theory and stochastic processes (37A50) Dynamical aspects of statistical mechanics (37A60)

Cites Work

• Exponential decay of power spectra at high frequency and positive Lyapunov exponents
• A note on the Fourier transform of fractal measures
• On the asymptotics of the Hopf characteristic function
• Exact statistics of chaotic dynamical systems
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