Results 11 to 20 of about 324 (41)

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

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

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

Sets of invariant measures and Cesaro stability

, 2017
Sets of invariant measures are considered for continuous maps of a metric compact set. We take Kantorovich metric to calculate distance between measures and Hausdorff metrics to calculate distance between compact sets.
Kryzhevich, Sergey
core  

Large deviation for return times in open sets for axiom A diffeomorphisms

, 2007
For axiom A diffeomorphisms and equilibrium state, we prove a Large deviation result for the sequence of successive return times into a fixed open set, under some assumption on the boundary.
Leplaideur, Renaud, Saussol, Benoît
core   +1 more source

Large deviations for return times in non-rectangle sets for axiom A diffeomorphisms

, 2007
For Axiom A diffeomorphisms and equilibrium states, we prove a Large deviations result for the sequence of successive return times into a fixed Borel set, under some assumption on the boundary.
Leplaideur, Renaud, Saussol, Benoit
core   +1 more source

River pollution by priority chemical substances under the Water Framework Directive: A provisional pan-European assessment. [PDF]

Sci Total Environ, 2019
Pistocchi A, Dorati C, Aloe A, Ginebreda A, Marcé R.   +4 more
europepmc   +1 more source