Systems of finite rank

S Ferenczi - Colloquium Mathematicae, 1997 - eudml.org
SE BASTIEN FERENCZI(MARSEILLE) Ergodic theory, and particularly its measure-theoretic
part, was developed to model physical systems; but a growing part of it is devoted to the …

Old and new results on strange nonchaotic attractors

À Jorba, JC Tatjer, C Núñez, R Obaya - International Journal of …, 2007 - World Scientific
Classical and new results concerning the topological structure of skew-products semiflows,
coming from nonautonomous maps and differential equations, are combined in order to …

[PDF][PDF] Almost 1-1 extensions of Furstenberg-Weiss type and applications to Toeplitz flows

T Downarowicz, Y Lacroix - Studia Math, 1998 - researchgate.net
Let (Z, TZ) be a minimal non-periodic flow which is either symbolic or strictly ergodic. Any
topological extension of (Z, TZ) is Borel isomorphic to an almost 1-1 extension of (Z, TZ) …

Construction of smooth isomorphic and finite-to-one extensions of irrational rotations which are not almost automorphic

L Haupt, T Jäger - Ergodic Theory and Dynamical Systems, 2023 - cambridge.org
Due to a result by Glasner and Downarowicz [Isomorphic extensions and applications.
Topol. Methods Nonlinear Anal. 48 (1)(2016), 321–338], it is known that a minimal system is …

On almost automorphic oscillations

Y Yi - Fields Inst. Commun, 2004 - books.google.com
Almost automorphic dynamics have been given a notable amount of attention in recent
years with respect to the study of almost periodically forced monotone systems. There are …

The royal couple conceals their mutual relationship: a noncoalescent Toeplitz flow

T Downarowicz - Israel Journal of Mathematics, 1997 - Springer
The royal couple conceals their mutual relationship: A noncoalescent toeplitz flow Page 1
ISRAEL JOURNAL OF MATHEMATICS 9T (1997), 239-251 THE ROYAL COUPLE CONCEALS …

On almost automorphic dynamics in symbolic lattices

A Berger, S Siegmund, Y Yi - Ergodic Theory and Dynamical …, 2004 - cambridge.org
We study the existence, structure and topological entropy of almost automorphic arrays in
symbolic lattice dynamical systems. In particular, we show that almost automorphic arrays …

[PDF][PDF] A non-regular Toeplitz flow with preset pure point spectrum

T Downarowicz, Y Lacroix - Studia Math, 1996 - academia.edu
Given an arbitrary countable subgroup σo of the torus, containing infinitely many rationals,
we construct a strictly ergodic 0-1 Toeplitz flow with pure point spectrum equal to σo. For a …

Toeplitz flows with pure point spectrum

A Iwanik - Studia Mathematica, 1996 - infona.pl
Toeplitz flows with pure point spectrum × Close The Infona portal uses cookies, ie strings of
text saved by a browser on the user's device. The portal can access those files and use them to …

Multivariate mean equicontinuity for finite-to-one topomorphic extensions

J Breitenbücher, L Haupt, T Jäger - arXiv preprint arXiv:2409.08707, 2024 - arxiv.org
In this note, we generalise the concept of topo-isomorphic extensions and define finite
topomorphic extensions as topological dynamical systems whose factor map to the maximal …