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Dynamics and Numbers
 
Edited by: Sergiǐ Kolyada National Academy of Sciences of Ukraine, Kiev, Ukraine
Martin Möller Frankfurt University, Frankfurt, Germany
Pieter Moree Max-Planck Institute for Mathematics, Bonn, Germany
Thomas Ward Durham University, Durham, United Kingdom
Dynamics and Numbers
eBook ISBN:  978-1-4704-3498-4
Product Code:  CONM/669.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Dynamics and Numbers
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Dynamics and Numbers
Edited by: Sergiǐ Kolyada National Academy of Sciences of Ukraine, Kiev, Ukraine
Martin Möller Frankfurt University, Frankfurt, Germany
Pieter Moree Max-Planck Institute for Mathematics, Bonn, Germany
Thomas Ward Durham University, Durham, United Kingdom
eBook ISBN:  978-1-4704-3498-4
Product Code:  CONM/669.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 6692016; 315 pp
    MSC: Primary 11; 20; 22; 30; 37; 54; 60

    This volume contains a collection of survey and research articles from the special program and international conference on Dynamics and Numbers held at the Max-Planck Institute for Mathematics in Bonn, Germany in 2014.

    The papers reflect the great diversity and depth of the interaction between number theory and dynamical systems and geometry in particular. Topics covered in this volume include symbolic dynamics, Bratelli diagrams, geometry of laminations, entropy, Nielsen theory, recurrence, topology of the moduli space of interval maps, and specification properties.

    Readership

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

  • Table of Contents
     
     
    • Articles
    • S. Bezuglyi and O. Karpel — Bratteli diagrams: Structure, measures, dynamics
    • Alexander Blokh, Lex Oversteegen, Ross Ptacek and Vladlen Timorin — The combinatorial Mandelbrot set as the quotient of the space of geolaminations
    • Tomasz Downarowicz, Bartosz Frej and Pierre-Paul Romagnoli — Shearer’s inequality and infimum rule for Shannon entropy and topological entropy
    • Alexander Fel’shtyn and Jong Bum Lee — The Nielsen and Reidemeister theories of iterations on infra-solvmanifolds of type $\textup {(R)}$ and poly-Bieberbach groups
    • M. Gröger and T. Jäger — Some remarks on modified power entropy
    • Wen Huang and Xiaomin Zhou — Recurrent sets, entropy and independence
    • Sergiǐ Kolyada, Michał Misiurewicz and L’ubomír Snoha — Loops of transitive interval maps
    • Dominik Kwietniak, Martha Ła̧cka and Piotr Oprocha — A panorama of specification-like properties and their consequences
    • Alina Ostafe and Min Sha — Counting dynamical systems over finite fields
    • Anke D. Pohl — Symbolic dynamics, automorphic functions, and Selberg zeta functions with unitary representations
    • Viktor Schroeder and Steffen Weil — The aperiodic complexities and connections to dimensions and Diophantine approximation
    • Igor E. Shparlinski — Dynamical systems of non-algebraic origin: Fixed points and orbit lengths
    • Shaun Stevens, Tom Ward and Stefanie Zegowitz — Halving dynamical systems
    • Zhaolong Wang and Guohua Zhang — Chaotic behavior of group actions
  • 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: 6692016; 315 pp
MSC: Primary 11; 20; 22; 30; 37; 54; 60

This volume contains a collection of survey and research articles from the special program and international conference on Dynamics and Numbers held at the Max-Planck Institute for Mathematics in Bonn, Germany in 2014.

The papers reflect the great diversity and depth of the interaction between number theory and dynamical systems and geometry in particular. Topics covered in this volume include symbolic dynamics, Bratelli diagrams, geometry of laminations, entropy, Nielsen theory, recurrence, topology of the moduli space of interval maps, and specification properties.

Readership

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

  • Articles
  • S. Bezuglyi and O. Karpel — Bratteli diagrams: Structure, measures, dynamics
  • Alexander Blokh, Lex Oversteegen, Ross Ptacek and Vladlen Timorin — The combinatorial Mandelbrot set as the quotient of the space of geolaminations
  • Tomasz Downarowicz, Bartosz Frej and Pierre-Paul Romagnoli — Shearer’s inequality and infimum rule for Shannon entropy and topological entropy
  • Alexander Fel’shtyn and Jong Bum Lee — The Nielsen and Reidemeister theories of iterations on infra-solvmanifolds of type $\textup {(R)}$ and poly-Bieberbach groups
  • M. Gröger and T. Jäger — Some remarks on modified power entropy
  • Wen Huang and Xiaomin Zhou — Recurrent sets, entropy and independence
  • Sergiǐ Kolyada, Michał Misiurewicz and L’ubomír Snoha — Loops of transitive interval maps
  • Dominik Kwietniak, Martha Ła̧cka and Piotr Oprocha — A panorama of specification-like properties and their consequences
  • Alina Ostafe and Min Sha — Counting dynamical systems over finite fields
  • Anke D. Pohl — Symbolic dynamics, automorphic functions, and Selberg zeta functions with unitary representations
  • Viktor Schroeder and Steffen Weil — The aperiodic complexities and connections to dimensions and Diophantine approximation
  • Igor E. Shparlinski — Dynamical systems of non-algebraic origin: Fixed points and orbit lengths
  • Shaun Stevens, Tom Ward and Stefanie Zegowitz — Halving dynamical systems
  • Zhaolong Wang and Guohua Zhang — Chaotic behavior of group actions
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.