An ergodic-theoretical approach to the chaotic behaviour of dynamical systems

DOI10.2977/prims/1195182029zbMath0541.58030OpenAlexW1972258742MaRDI QIDQ794329

Yoichiro Takahashi

Publication date: 1983

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195182029

zbMATH Keywords

surveyFredholm theoryzeta-functionsone-dimensional mapsNumber-theoretical transformationsUnimodal linear transformations

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Ergodic theory (37A99)

Related Items (1)

Stabilizing stationary linear discrete systems: Minimal and balanced expansions in any real base

Cites Work

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• GIBBS MEASURES IN ERGODIC THEORY
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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