TY - BOOK AU - Kolyada,Sergil AU - Moller,Martin AU - Moree,Pieter AU - Ward Thomas ED - Special Program ED - International Conference TI - Dynamics and numbers T2 - Contemporary mathematics SN - 9781470420208 (pbk. : alk. paper) U1 - 510 23 PY - 2016/// CY - Providence : PB - American Mathematical Society KW - Number theory KW - Congresses KW - Ergodic theory KW - Topological algebras N1 - 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 N2 - 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. ER -