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Dynamics: Topology and Numbers
 
Edited by: Pieter Moree Max Planck Institute for Mathematics, Bonn, Germany
Anke Pohl University of Bremen, Bremen, Germany
L’ubomír Snoha Matej Bel University, Banská Bystrica, Slovakia
Tom Ward University of Leeds, Leeds, United Kingdom
Dynamics: Topology and Numbers
Softcover ISBN:  978-1-4704-5100-4
Product Code:  CONM/744
List Price: $120.00
MAA Member Price: $108.00
AMS Member Price: $96.00
eBook ISBN:  978-1-4704-5454-8
Product Code:  CONM/744.E
List Price: $120.00
MAA Member Price: $108.00
AMS Member Price: $96.00
Softcover ISBN:  978-1-4704-5100-4
eBook: ISBN:  978-1-4704-5454-8
Product Code:  CONM/744.B
List Price: $240.00 $180.00
MAA Member Price: $216.00 $162.00
AMS Member Price: $192.00 $144.00
Dynamics: Topology and Numbers
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Dynamics: Topology and Numbers
Edited by: Pieter Moree Max Planck Institute for Mathematics, Bonn, Germany
Anke Pohl University of Bremen, Bremen, Germany
L’ubomír Snoha Matej Bel University, Banská Bystrica, Slovakia
Tom Ward University of Leeds, Leeds, United Kingdom
Softcover ISBN:  978-1-4704-5100-4
Product Code:  CONM/744
List Price: $120.00
MAA Member Price: $108.00
AMS Member Price: $96.00
eBook ISBN:  978-1-4704-5454-8
Product Code:  CONM/744.E
List Price: $120.00
MAA Member Price: $108.00
AMS Member Price: $96.00
Softcover ISBN:  978-1-4704-5100-4
eBook ISBN:  978-1-4704-5454-8
Product Code:  CONM/744.B
List Price: $240.00 $180.00
MAA Member Price: $216.00 $162.00
AMS Member Price: $192.00 $144.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 7442020; 347 pp
    MSC: Primary 11; 20; 22; 30; 37; 54; 60;

    This volume contains the proceedings of the conference Dynamics: Topology and Numbers, held from July 2–6, 2018, at the Max Planck Institute for Mathematics, Bonn, Germany.

    The papers cover diverse fields of mathematics with a unifying theme of relation to dynamical systems. These include arithmetic geometry, flat geometry, complex dynamics, graph theory, relations to number theory, and topological dynamics.

    The volume is dedicated to the memory of Sergiy Kolyada and also contains some personal accounts of his life and mathematics.

    Readership

    Graduate students and research mathematicians interested in dynamical systems and related topics.

  • Table of Contents
     
     
    • Articles
    • L’ubomír Snoha — The life and mathematics of Sergiĭ Kolyada
    • Recollections about Sergiĭ Kolyada
    • Pieter Moree — Sergiy and the MPIM
    • Yuri I. Manin and Matilde Marcolli — Homotopy types and geometries below ${\rm Spec}(\mathbb {Z})$
    • Alexander Fel’shtyn and Malwina Zietek — Dynamical zeta functions of Reidemeister type and representations spaces
    • Oliver Jenkinson and Mark Pollicott — Rigorous dimension estimates for Cantor sets arising in Zaremba theory
    • P. Colognese and M. Pollicott — Volume growth for infinite graphs and translation surfaces
    • Jakub Byszewski, Gunther Cornelissen and Marc Houben — Dynamically affine maps in positive characteristic
    • Sergiǐ Kolyada, Michał Misiurewicz and L’ubomír Snoha — Special $\alpha $-limit sets
    • Enhui Shi and Xiangdong Ye — Equicontinuity of minimal sets for amenable group actions on dendrites
    • Ethan Akin, Eli Glasner and Benjamin Weiss — On weak rigidity and weakly mixing enveloping semigroups
    • Arijit Ganguly and Anish Ghosh — The inhomogeneous Sprindžhuk conjecture over a local field of positive characteristic
    • Alexander Blokh, Lex Oversteegen and Vladlen Timorin — Dynamical generation of parameter laminations
    • Piotr Oprocha, Tao Yu and Guohua Zhang — Multi-sensitivity, multi-transitivity and $\Delta $-transitivity
    • Richard Sharp — Convergence of zeta functions for amenable group extensions of shifts
    • Sergey Bezuglyi and Olena Karpel — Invariant measures for Cantor dynamical systems
    • Michael Kapovich — Periods of abelian differentials and dynamics
    • Johannes Riedl and Dierk Schleicher — Crossed renormalization of quadratic polynomials
  • 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: 7442020; 347 pp
MSC: Primary 11; 20; 22; 30; 37; 54; 60;

This volume contains the proceedings of the conference Dynamics: Topology and Numbers, held from July 2–6, 2018, at the Max Planck Institute for Mathematics, Bonn, Germany.

The papers cover diverse fields of mathematics with a unifying theme of relation to dynamical systems. These include arithmetic geometry, flat geometry, complex dynamics, graph theory, relations to number theory, and topological dynamics.

The volume is dedicated to the memory of Sergiy Kolyada and also contains some personal accounts of his life and mathematics.

Readership

Graduate students and research mathematicians interested in dynamical systems and related topics.

  • Articles
  • L’ubomír Snoha — The life and mathematics of Sergiĭ Kolyada
  • Recollections about Sergiĭ Kolyada
  • Pieter Moree — Sergiy and the MPIM
  • Yuri I. Manin and Matilde Marcolli — Homotopy types and geometries below ${\rm Spec}(\mathbb {Z})$
  • Alexander Fel’shtyn and Malwina Zietek — Dynamical zeta functions of Reidemeister type and representations spaces
  • Oliver Jenkinson and Mark Pollicott — Rigorous dimension estimates for Cantor sets arising in Zaremba theory
  • P. Colognese and M. Pollicott — Volume growth for infinite graphs and translation surfaces
  • Jakub Byszewski, Gunther Cornelissen and Marc Houben — Dynamically affine maps in positive characteristic
  • Sergiǐ Kolyada, Michał Misiurewicz and L’ubomír Snoha — Special $\alpha $-limit sets
  • Enhui Shi and Xiangdong Ye — Equicontinuity of minimal sets for amenable group actions on dendrites
  • Ethan Akin, Eli Glasner and Benjamin Weiss — On weak rigidity and weakly mixing enveloping semigroups
  • Arijit Ganguly and Anish Ghosh — The inhomogeneous Sprindžhuk conjecture over a local field of positive characteristic
  • Alexander Blokh, Lex Oversteegen and Vladlen Timorin — Dynamical generation of parameter laminations
  • Piotr Oprocha, Tao Yu and Guohua Zhang — Multi-sensitivity, multi-transitivity and $\Delta $-transitivity
  • Richard Sharp — Convergence of zeta functions for amenable group extensions of shifts
  • Sergey Bezuglyi and Olena Karpel — Invariant measures for Cantor dynamical systems
  • Michael Kapovich — Periods of abelian differentials and dynamics
  • Johannes Riedl and Dierk Schleicher — Crossed renormalization of quadratic polynomials
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.