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Title Dynamics : topology and numbers : Conference on dynamics : topology and numbers, July 2-6, 2018, Max Planck Institute for Mathematics, Bonn, Germany / Pieter Moree, Anke Pohl, L'ubomir Snoha, Tom Ward, editors
Published Providence, Rhode Island : American Mathematical Society, [2020]

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Description 1 online resource
Series Contemporary mathematics, 0271-4132 ; volume 744
Contemporary mathematics (American Mathematical Society) ; v. 744.
Contents The life and mathematics of Sergiĭ Kolyada / L'ubomír Snoha -- http://www.ams.org/conm/744/'>http://www.ams.org/conm/744/'>http://www.ams.org/conm/744/'>http://www.ams.org/conm/744/'>http://www.ams.org/conm/744/'>http://www.ams.org/conm/744/'>http://www.ams.org/conm/744/'>http://www.ams.org/conm/744/'>http://www.ams.org/conm/744/'>http://www.ams.org/conm/744/'>http://www.ams.org/conm/744/'>http://www.ams.org/conm/744/'>http://www.ams.org/conm/744/'>http://www.ams.org/conm/744/'>http://www.ams.org/conm/744/'>http://www.ams.org/conm/744/'>http://www.ams.org/conm/744/ https://doi.org/10.1090/conm/744/14975 Recollections about Sergiĭ Kolyada Sergiy and the MPIM / Pieter Moree -- http://www.ams.org/conm/744/ https://doi.org/10.1090/conm/744/14977 Homotopy types and geometries below ${Spec}(\mathbb {Z})$ / Yuri I. Manin and Matilde Marcolli -- http://www.ams.org/conm/744/ https://doi.org/10.1090/conm/744/14978 Dynamical zeta functions of Reidemeister type and representations spaces / Alexander Fel'shtyn and Malwina Zietek -- http://www.ams.org/conm/744/ https://doi.org/10.1090/conm/744/14979 Rigorous dimension estimates for Cantor sets arising in Zaremba theory / Oliver Jenkinson and Mark Pollicott -- http://www.ams.org/conm/744/ https://doi.org/10.1090/conm/744/14980 Volume growth for infinite graphs and translation surfaces / P. Colognese and M. Pollicott -- http://www.ams.org/conm/744/ https://doi.org/10.1090/conm/744/14981 Dynamically affine maps in positive characteristic / Jakub Byszewski, Gunther Cornelissen and Marc Houben -- http://www.ams.org/conm/744/ https://doi.org/10.1090/conm/744/14982 Special $\alpha $-limit sets / Sergiǐ Kolyada$̂\textdagger $, Michał Misiurewicz and L'ubomír Snoha -- http://www.ams.org/conm/744/ https://doi.org/10.1090/conm/744/14976 Equicontinuity of minimal sets for amenable group actions on dendrites / Enhui Shi and Xiangdong Ye -- http://www.ams.org/conm/744/ https://doi.org/10.1090/conm/744/14983 On weak rigidity and weakly mixing enveloping semigroups / Ethan Akin, Eli Glasner and Benjamin Weiss -- http://www.ams.org/conm/744/ https://doi.org/10.1090/conm/744/14985 The inhomogeneous Sprindžhuk conjecture over a local field of positive characteristic / Arijit Ganguly and Anish Ghosh -- http://www.ams.org/conm/744/ https://doi.org/10.1090/conm/744/14928 Dynamical generation of parameter laminations / Alexander Blokh, Lex Oversteegen and Vladlen Timorin -- http://www.ams.org/conm/744/ https://doi.org/10.1090/conm/744/14986 Multi-sensitivity, multi-transitivity and $\Delta $-transitivity / Piotr Oprocha, Tao Yu and Guohua Zhang -- http://www.ams.org/conm/744/ https://doi.org/10.1090/conm/744/14987 Convergence of zeta functions for amenable group extensions of shifts / Richard Sharp -- http://www.ams.org/conm/744/ https://doi.org/10.1090/conm/744/14927 Invariant measures for Cantor dynamical systems / Sergey Bezuglyi and Olena Karpel -- http://www.ams.org/conm/744/ https://doi.org/10.1090/conm/744/14988 Periods of abelian differentials and dynamics / Michael Kapovich -- http://www.ams.org/conm/744/ https://doi.org/10.1090/conm/744/14989 Crossed renormalization of quadratic polynomials / Johannes Riedl and Dierk Schleicher -- http://www.ams.org/conm/744/ https://doi.org/10.1090/conm/744/14991
Summary 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
Notes This was the fourth conference at MPIM on the theme of dynamical systems and its relationships with the diverse fields of number theory, geometry, topology, ergodic theory, and combinatorics
Bibliography Includes bibliographical references
Notes Print record version
Subject Dynamics -- Congresses
Number theory -- Congresses
Group theory -- Congresses
Teoría de grupos
Números, Teoría de
Dynamics
Group theory
Number theory
Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Continued fractions and generalizations [See also 11A55, 11K50].
Group theory and generalizations -- Special aspects of infinite or finite groups -- Geometric group theory [See also 05C25, 20E08, 57Mxx].
Topological groups, Lie groups {For transformation groups, see 54H15, 57Sxx, 58-XX. For abstract harmonic analysis, see 43-XX} -- Locally compact groups and their algebras -- Ergodic theory on groups.
Functions of a complex variable {For analysis on manifolds, see 58-XX} -- Miscellaneous topics of analysis in the complex domain -- Moment problems, interpolation problems.
Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX] -- Ergodic theory [See also 28Dxx] -- General groups of measure-preserving transformations [See m.
Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX] -- Ergodic theory [See also 28Dxx] -- Orbit equivalence, cocycles, ergodic equivalence relations.
Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX] -- Ergodic theory [See also 28Dxx] -- Ergodic theorems, spectral theory, Markov operators {For op.
Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX] -- Topological dynamics [See also 54H20] -- Transformations and group actions with special proper.
General topology {For the topology of manifolds of all dimensions, see 57Nxx} -- Connections with other structures, applications -- Topological dynamics [See also 28Dxx, 37Bxx].
Probability theory and stochastic processes {For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX} -- Probability theory on algebraic and topological structures -- Probabil.
Genre/Form Conference papers and proceedings
Form Electronic book
Author Moree, Pieter, 1965- editor.
ISBN 1470454548
9781470454548