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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
Available Formats:
Electronic ISBN: 978-1-4704-3498-4
Product Code: CONM/669.E
List Price: $108.00 MAA Member Price:$97.20
AMS Member Price: $86.40 Click above image for expanded view 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 Available Formats:  Electronic ISBN: 978-1-4704-3498-4 Product Code: CONM/669.E  List Price:$108.00 MAA Member Price: $97.20 AMS Member Price:$86.40
• 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.

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

• 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: 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.

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 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.