Results 11 to 20 of about 294 (24)

Recurrent Surface Homeomorphisms

, 1998
An orientation-preserving recurrent homeomorphism of the two-sphere which is not the identity is shown to admit exactly two fixed points. A recurrent homeomorphism of a compact surface with negative Euler characteristic is periodic.Comment: 10 pages ...
Kolev, Boris, Peroueme, Marie-Christine
core   +4 more sources

Joint transitivity for linear iterates

Forum of Mathematics, Sigma
We establish sufficient and necessary conditions for the joint transitivity of linear iterates in a minimal topological dynamical system with commuting transformations.
Sebastián Donoso, Andreas Koutsogiannis, Wenbo Sun   +2 more
doaj   +1 more source

Infinite-horizon Lorentz tubes and gases: recurrence and ergodic properties

, 2011
We construct classes of two-dimensional aperiodic Lorentz systems that have infinite horizon and are 'chaotic', in the sense that they are (Poincar\'e) recurrent, uniformly hyperbolic, ergodic, and the first-return map to any scatterer is $K$-mixing.
Lenci, Marco, Troubetzkoy, Serge
core   +3 more sources

Bender–Knuth Billiards in Coxeter Groups

Forum of Mathematics, Sigma
Let $(W,S)$ be a Coxeter system, and write $S=\{s_i:i\in I\}$ , where I is a finite index set. Fix a nonempty convex subset $\mathscr {L}$ of W. If W is of type A, then $\mathscr {L}$ is the set of linear extensions of a poset,
Grant Barkley, Colin Defant, Eliot Hodges, Noah Kravitz, Mitchell Lee   +4 more
doaj   +1 more source

Entropy and Poincar\'e recurrence from a geometrical viewpoint

, 2009
We study Poincar\'e recurrence from a purely geometrical viewpoint. We prove that the metric entropy is given by the exponential growth rate of return times to dynamical balls. This is the geometrical counterpart of Ornstein-Weiss theorem.
Afraimovich V S, Downarowicz T, Katok A, Katok A, Mañé R, Paulo Varandas, Pesin Ya, Pinheiro V, Saussol B, Saussol B, Varandas P Viana M   +10 more
core   +1 more source

Right-Permutative Cellular Automata on Topological Markov Chains

, 2006
In this paper we consider cellular automata $(\mathfrak{G},\Phi)$ with algebraic local rules and such that $\mathfrak{G}$ is a topological Markov chain which has a structure compatible to this local rule.
Sobottka, Marcelo
core   +3 more sources

On diffeomorphisms of compact 2-manifolds with all nonwandering points periodic

, 2014
The aim of the present paper is to study conditions under which all the non-wandering points are periodic points, for a discrete dynamical system of two variables defined on a compact manifold.
Boyd, Suzanne, Guirao, Juan L. G., Hero, Michael W.   +2 more
core   +1 more source

Recurrence spectrum in smooth dynamical systems

, 2003
We prove that for conformal expanding maps the return time does have constant multifractal spectrum.
Barreira L, Barreira L, Beno t Saussol, Feng D J, Fernandez B, Hofbauer F, Hofbauer F, Jun Wu, Keller G, Keller G, Keller G, Saussol B   +11 more
core   +1 more source

Poisson law for some nonuniformly hyperbolic dynamical systems with polynomial rate of mixing

, 2014
We consider some nonuniformly hyperbolic invertible dynamical systems which are modeled by a Gibbs-Markov-Young tower. We assume a polynomial tail for the inducing time and a polynomial control of hyperbolicity, as introduced by Alves, Pinheiro and ...
Pene, Francoise, Saussol, Benoit
core   +2 more sources

Sequences with long range exclusions [PDF]

, 2013
Given an alphabet $S$, we consider the size of the subsets of the full sequence space $S^{\rm {\bf Z}}$ determined by the additional restriction that $x_i\not=x_{i+f(n)},\ i\in {\rm {\bf Z}},\ n\in {\rm {\bf N}}.$ Here $f$ is a positive, strictly ...
Eloranta, Kari
core