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Theory of \((a,b)\)-continued fraction transformations and applications

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Publication:970097
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DOI10.3934/ERA.2010.17.20zbMath1193.37040OpenAlexW2101875768MaRDI QIDQ970097

Ilie Ugarcovici, Svetlana Katok

Publication date: 10 May 2010

Published in: Electronic Research Announcements in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/03f3a5e4702a68affc51123698870fd0299c055f


zbMATH Keywords

attractorsinvariant measurecontinued fractionsmodular surface


Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Continued fractions (11A55) Topological entropy (37B40) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)


Related Items (5)

Invariant measures for continued fraction algorithms with finitely many digits ⋮ Natural extensions and entropy of \(\alpha \)-continued fraction expansion maps with odd partial quotients ⋮ Substitutions, symbolic codings, and discrepancy ⋮ Coding of geodesics on some modular surfaces and applications to odd and even continued fractions ⋮ Tanaka–Ito α-continued fractions and matching







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