Results 11 to 20 of about 315 (29)

Extremal dichotomy for uniformly hyperbolic systems [PDF]

, 2015
We consider the extreme value theory of a hyperbolic toral automorphism $T: \mathbb{T}^2 \to \mathbb{T}^2$ showing that if a H\"older observation $\phi$ which is a function of a Euclidean-type distance to a non-periodic point $\zeta$ is strictly ...
Carvalho, Maria, Freitas, Ana Cristina Moreira, Freitas, Jorge Milhazes, Holland, Mark, Nicol, Matthew   +4 more
core   +2 more sources

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

The Structure on Invariant Measures of $C^1$ generic diffeomorphisms

, 2010
Let $\Lambda$ be an isolated non-trival transitive set of a $C^1$ generic diffeomorphism $f\in\Diff(M)$. We show that the space of invariant measures supported on $\Lambda$ coincides with the space of accumulation measures of time averages on one orbit ...
Ch. Bonatti, K. Sigmund, P. Walters, S. Hayashi, V. I. Oseledec, W. Sun, Wen Xiang Sun, Xue Ting Tian, Y. Cao   +8 more
core   +1 more source

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

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

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

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