Dynamics and Numbers

SergiÇ Kolyada, Martin MÃ¶ller, Pieter Moree, Thomas Ward

Type: Book

Publication Date: 2016-07-26

Citations: 3

DOI: https://doi.org/10.1090/conm/669

Abstract

The relationship between two dynamical systems, one of which is obtained from the other by forming the quotient by an action of an involution commuting with the dynamics, is studied. The constraints and the possible extent of freedom in the relationship between the growth of closed orbits in pairs of systems related in this way is explored.

Locations

Contemporary mathematics - American Mathematical Society - View - PDF
arXiv (Cornell University) - View - PDF
MPG.PuRe (Max Planck Society) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Dynamical Systems, Number Theory and Applications	2015	Thomas Hagen Florian Rupp Jürgen Scheurle
+	Chapter 1 Principal structures	2002	Boris Hasselblatt Anatole Katok
+	Dynamics of Number Systems	2016	Petr Kůrka
+	SYMBOLIC AND ALGEBRAIC DYNAMICAL SYSTEMS	2000	Douglas Lind Klaus Schmidt
+	Symbolic dynamics and rotation numbers	1986	Peter Veerman
+	Dynamical systems and congruence relations	2018	S. Ostadhadi-Dehkordi M. Karimi Amaleh
+	Representation and Classification of Dynamical Systems	1995	K. Zare
+	Invariant sets and comparison of dynamical systems	2007	Андрій Алілуйко A. G. Mazko
+	Dynamical systems and dimension	2016	Peter Massopust
+	Dynamical Systems and Dimension	1994	Peter Massopust
+	Dynamical Systems	2003	K. J. Falconer
+	Dynamical systems characterized by automata	1979	A. B. Engel
+	Dynamics and Analytic Number Theory	2016
+	Symbolic Dynamics, Conjugacy and Shift Invariant Sets	2011	Goong Chen Yu Huang
+	Dynamical Systems	2021	Giuseppe Orlando Giovanni Taglialatela
+ PDF Chat	Dynamical Systems and Linear Algebra	2013	Fritz Colonius Wolfgang Kliemann
+	The Arithmetic of Dynamical Systems	2007	Joseph H. Silverman
+ PDF Chat	Discrete Dynamical Systems: A Brief Survey	2018	Sara Fernandes C. Correia Ramos Gyan Bahadur Thapa Luís Mário Lopes Clara Grácio
+	Dynamical Systems and Chaos	2007	Hendrik Broer Floris Takens
+	Differential Forms and Dynamical Systems	2007	Christopher I. Byrnes

Works That Cite This (3)

Action	Title	Year	Authors
+ PDF Chat	Dynamically distinguishing polynomials	2017	Andrew Bridy Derek Garton
+	Norwich Revisited	2023	Thomas Ward
+ PDF Chat	On entropy of dynamical systems with almost specification	2016	Dominik Kwietniak Piotr Oprocha Michał Rams

Works Cited by This (27)

Action	Title	Year	Authors
+	Spectral Theory of Automorphic Functions and Its Applications	1990	Alexei B. Venkov
+	Symbolic dynamics for triangle groups	1996	David Fried
+	The transfer operator for the Hecke triangle groups	2012	Dieter Mayer Tobias Mühlenbruch Fredrik Strömberg
+	Hyperbolic distribution problems and half-integral weight Maass forms	1988	William Duke
+ PDF Chat	Expanding maps on Cantor sets and analytic continuation of zeta functions	2005	Frédéric Naud
+	Some applications of thermodynamic formalism to manifolds with constant negative curvature	1991	Mark Pollicott
+	Zeta-functions for expanding maps and Anosov flows	1976	David Ruelle
+ PDF Chat	Eigenfunctions of transfer operators and cohomology	2008	Roelof W. Bruggeman Tobias Mühlenbruch
+ PDF Chat	Distribution of Resonances for Hyperbolic Surfaces	2014	David Borthwick
+	The weyl theorem and the deformation of discrete groups	1985	Ralph S. Phillips Peter Sarnak