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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
Dynamical Numbers: Interplay between Dynamical Systems and Number Theory
Dynamical Numbers: Interplay between Dynamical Systems and Number Theory
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
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-4958-3
eBook: ISBN:  978-0-8218-8211-5
Product Code:  CONM/532.B
List Price: $255.00$192.50
MAA Member Price: $229.50$173.25
AMS Member Price: $204.00$154.00
Dynamical Numbers: Interplay between Dynamical Systems and Number Theory
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Dynamical Numbers: Interplay between Dynamical Systems and Number Theory
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
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
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-4958-3
eBook ISBN:  978-0-8218-8211-5
Product Code:  CONM/532.B
List Price: $255.00$192.50
MAA Member Price: $229.50$173.25
AMS Member Price: $204.00$154.00
  • 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.

    Readership

    Graduate students and research mathematicians interested in ergodic theory, dynamical systems, and number theory.

  • Table of Contents
     
     
    • 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
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    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.

Readership

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 publishers of book reviews
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.