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| Softcover ISBN: | 978-0-8218-4958-3 |
| Product Code: | CONM/532 |
| List Price: | $130.00 |
| MAA Member Price: | $117.00 |
| AMS Member Price: | $104.00 |
| eBook ISBN: | 978-0-8218-8211-5 |
| Product Code: | CONM/532.E |
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| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-0-8218-4958-3 |
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Book DetailsContemporary MathematicsVolume: 532; 2010; 242 ppMSC: Primary 11; 20; 22; 30; 37; 54; 60
This volume contains papers from the special program and international conference on Dynamical Numbers which were held at the Max-Planck Institute in Bonn, Germany in 2009.
These papers reflect the extraordinary range and depth of the interactions between ergodic theory and dynamical systems and number theory. Topics covered in the book include stationary measures, systems of enumeration, geometrical methods, spectral methods, and algebraic dynamical systems.
ReadershipGraduate students and research mathematicians interested in ergodic theory, dynamical systems, and number theory.
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Table of Contents
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Articles
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Hillel Furstenberg and Eli Glasner — Stationary dynamical systems
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John Smillie and Corinna Ulcigrai — Geodesic flow on the Teichmüller disk of the regular octagon, cutting sequences and octagon continued fractions maps
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Petr Kůrka — Expansion of rational numbers in Möbius number systems
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Pierre Moussa — Localisation of algebraic integers and polynomial iteration
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Jens Marklof — Horospheres and Farey fractions
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Tien-Cuong Dinh and Nessim Sibony — Exponential mixing for automorphisms on compact Kähler manifolds
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A. M. Vershik — Orbit theory, locally finite permutations and Morse arithmetic
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Alexandre I. Danilenko and Anton V. Solomko — Ergodic abelian actions with homogeneous spectrum
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Ilya Kapovich and Tatiana Nagnibeda — Geometric entropy of geodesic currents on free groups
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Fedor Pakovich, Christian Pech and Alexander K. Zvonkin — Laurent polynomial moment problem: A case study
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Douglas Lind, Klaus Schmidt and Evgeny Verbitskiy — Entropy and growth rate of periodic points of algebraic $\mathbb {Z}^d$-actions
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Mark Pollicott and Richard Sharp — Statistics of matrix products in hyperbolic geometry
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Erwan Lanneau — Infinite sequence of fixed point free pseudo-Anosov homeomorphisms on a family of genus two surfaces
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
This volume contains papers from the special program and international conference on Dynamical Numbers which were held at the Max-Planck Institute in Bonn, Germany in 2009.
These papers reflect the extraordinary range and depth of the interactions between ergodic theory and dynamical systems and number theory. Topics covered in the book include stationary measures, systems of enumeration, geometrical methods, spectral methods, and algebraic dynamical systems.
Graduate students and research mathematicians interested in ergodic theory, dynamical systems, and number theory.
-
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
