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.
Lecture Notes in Mathematics
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G. Everest and T. Ward, “Heights of Polynomials and Entropy in Algebraic Dynamics”, Springer Verlag, London, 1999. M. Fekete,“ ̈Uber die Verteilung der Wurzeln bei gewissen algebraische gleichungen mit ganzzahligen Koeffizienten”, Math.
Teichmüller theory in Riemannian geometry. Birkhäuser Verlag, Basel, 1992. Lecture notes prepared by Jochen Denzler. Travaux de Thurston sur les surfaces. Société Mathématique de France, Paris, 1991. Séminaire Orsay, Reprint of Travaux ...
geometric shapes that break into parts , each a small - scale model of the whole . ( ... ) To start towards a comprehensive and harmonizing approach to a sensory input that had long defied rational study , a new geometry turned out to ...
... J. M. G. FELL and R. S. DORAN, Representations of *-algebras, locally compact groups, and Banach *-algebraic bundles, Vol. 1 (General representation theory of groups and algebras), Pure and Applied Mathematics 125, Academic Press, ...
A systematic introduction to the core of smooth ergodic theory.
Given a -dimensional lamination endowed with a Riemannian metric, the author introduces the notion of a multiplicative cocycle of rank , where and are arbitrary positive integers.
This book presents the expanded notes from ten lectures given by the author at the NSF/CBMS conference held at California State University (Bakersfield).
This work celebrates the work of Eberhard Hopf, a founding father of ergodic theory, a mathematician who produced many beautiful, elegantly written, and now classical results in integral equations and partial differential equations.