An error was encountered while trying to add the item to the cart. Please try again.
Copy To Clipboard
Successfully Copied!
Dynamical Numbers: Interplay between Dynamical Systems and Number Theory

Edited by: 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
Thomas Ward University of East Anglia, Norwich, United Kingdom
Available Formats:
Softcover ISBN: 978-0-8218-4958-3
Product Code: CONM/532
List Price: $88.00 MAA Member Price:$79.20
AMS Member Price: $70.40 Electronic ISBN: 978-0-8218-8211-5 Product Code: CONM/532.E List Price:$83.00
MAA Member Price: $74.70 AMS Member Price:$66.40
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $132.00 MAA Member Price:$118.80
AMS Member Price: $105.60 Click above image for expanded view Dynamical Numbers: Interplay between Dynamical Systems and Number Theory Edited by: 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 Thomas Ward University of East Anglia, Norwich, United Kingdom Available Formats:  Softcover ISBN: 978-0-8218-4958-3 Product Code: CONM/532  List Price:$88.00 MAA Member Price: $79.20 AMS Member Price:$70.40
 Electronic ISBN: 978-0-8218-8211-5 Product Code: CONM/532.E
 List Price: $83.00 MAA Member Price:$74.70 AMS Member Price: $66.40 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$132.00 MAA Member Price: $118.80 AMS Member Price:$105.60
• Book Details

Contemporary Mathematics
Volume: 5322010; 242 pp
MSC: 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.

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

• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 5322010; 242 pp
MSC: 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.

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
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.