On the existence of a Darling-Kac set for the renormalized Rauzy map

DOI10.3836/tjm/1327931385zbMath1268.37042OpenAlexW2080541077MaRDI QIDQ763992

Hitoshi Nakada, Kae Inoue

Publication date: 3 April 2012

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1327931385

zbMATH Keywords

ergodicconservativepointwise dual ergodicityDarling-Kac setrenormalized Rauzy map

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamical systems involving maps of the interval (37E05) Universality and renormalization of dynamical systems (37E20)

Cites Work

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• Gauss measures for transformations on the space of interval exchange maps
• Non-ergodic interval exchange transformations
• On the metrical theory of continued fraction mixing fibred systems and its application to Jacobi-Perron algorithm
• Finite Gauss measure on the space of interval exchange transformations. Lyapunov exponents
• Échanges d'intervalles et transformations induites
• Kuzmin's theorem revisited
• Interval exchange transformations

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