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Dynamics and numbers / [edited by] Sergi Kolyada...[et al.].

By: Contributor(s): Material type: TextTextSeries: Contemporary mathematics ; 669.Publication details: Providence : American Mathematical Society, ©2016.Description: xi, 315 pages : illustrations ; 26 cmISBN:
  • 9781470420208 (pbk. : alk. paper)
Subject(s): DDC classification:
  • 510 23 Am512c
Contents:
Bratteli diagrams: structure, measures, dynamics / S. Bezuglyi and O. Karpel -- The combinatorial Mandelbrot set as the quotient of the space of geolaminations / Alexander Blokh, Lex Oversteegen, Ross Ptacek, and Vladlen Timorin -- Shearer's inequality and infimum rule for Shannon entropy and topological entropy / Tomasz Downarowicz, Bartosz Frej, and Pierre-Paul Romagnoli -- The Nielsen and Reidemeister theories of iterations on infra-solvmanifolds of type (R) and poly-Bieberbach groups / Alexander Fel'shtyn and Jong Bum Lee -- Some remarks on modified power entropy / M. Gröger and T. Jäger -- Recurrent sets, entropy and independence / Wen Huang and Xiaomin Zhou -- Loops of transitive interval maps / Sergiǐ Kolyada, Michał Misiurewicz, and L'Ubomír Snoha -- A panorama of specification-like properties and their consequences / Dominik Kwietniak, Martha Ła̧cka, and Piotr Oprocha -- Counting dynamical systems over finite fields / Alina Ostafe and Min Sha -- Symbolic dynamics, automorphic functions, and Selberg zeta functions with unitary representations / Anke D. Pohl -- The aperiodic complexities and connections to dimensions and Diophantine approximation / Viktor Schroeder and Steffen Weil -- Dynamical systems of non-algebraic origin: Fixed points and orbit lengths / Igor E. Shparlinski -- Halving dynamical systems / Shaun Stevens, Tom Ward, and Stefanie Zegowitz -- Chaotic behavior of group actions / Zhaolong Wang and Guohua Zhang.
Summary: 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 2014. The papers reflect the great diversity and depth of the interaction between number theory and dynamical systems and geometry in particular.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 510 Am512c (Browse shelf(Opens below)) Available 137630
Total holds: 0

Includes bibliographical references.

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

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 2014. The papers reflect the great diversity and depth of the interaction between number theory and dynamical systems and geometry in particular.

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