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Dynamical Numbers: Interplay between Dynamical Systems and Number Theory
About this Title
Sergiy Kolyada, National Academy of Science of Ukraine, Kiev, Ukraine, Yuri Manin, Max Planck Institute for Mathematics, Bonn, Germany, Martin Möller, Goethe-Universität, Frankfurt, Frankfurt am Main, Germany, Pieter Moree, Max Planck Institute for Mathematics, Bonn, Germany and Thomas Ward, University of East Anglia, Norwich, United Kingdom, Editors
Publication: Contemporary Mathematics
Publication Year:
2010; Volume 532
ISBNs: 978-0-8218-4958-3 (print); 978-0-8218-8211-5 (online)
DOI: https://doi.org/10.1090/conm/532
ReadershipTable of Contents
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Front/Back Matter
Articles
- Hillel Furstenberg and Eli Glasner – Stationary dynamical systems
- John Smillie and Corinna Ulcigrai – Geodesic flow on the Teichmüller disk of the regular octagon, cutting sequences and octagon continued fractions maps
- Petr Kůrka – Expansion of rational numbers in Möbius number systems
- Pierre Moussa – Localisation of algebraic integers and polynomial iteration
- Jens Marklof – Horospheres and Farey fractions
- Tien-Cuong Dinh and Nessim Sibony – Exponential mixing for automorphisms on compact Kähler manifolds
- A. M. Vershik – Orbit theory, locally finite permutations and Morse arithmetic
- Alexandre I. Danilenko and Anton V. Solomko – Ergodic abelian actions with homogeneous spectrum
- Ilya Kapovich and Tatiana Nagnibeda – Geometric entropy of geodesic currents on free groups
- Fedor Pakovich, Christian Pech and Alexander K. Zvonkin – Laurent polynomial moment problem: A case study
- Douglas Lind, Klaus Schmidt and Evgeny Verbitskiy – Entropy and growth rate of periodic points of algebraic $\mathbb {Z}^d$-actions
- Mark Pollicott and Richard Sharp – Statistics of matrix products in hyperbolic geometry
- Erwan Lanneau – Infinite sequence of fixed point free pseudo-Anosov homeomorphisms on a family of genus two surfaces