Zobrazeno 1 - 10
of 153
pro vyhledávání: '"Jaeger, Tobias"'
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 equicontinuous factor is measure-theoretically at most $m$-to-one for some
Externí odkaz:
http://arxiv.org/abs/2409.08707
Autor:
Haupt, Lino, Jäger, Tobias
Due to a result by Glasner and Downarowicz, it is known that a minimal system is mean equicontinuous if and only if it is an isomorphic extension of its maximal equicontinuous factor. The majority of known examples of this type are almost automorphic
Externí odkaz:
http://arxiv.org/abs/2312.04244
We study strange non-chaotic attractors in a class of quasiperiodically forced monotone interval maps known as pinched skew products. We prove that the probability of positive time-N Lyapunov exponents, with respect to the unique physical measure on
Externí odkaz:
http://arxiv.org/abs/2210.15292
Publikováno v:
Trans. Am. Math. Soc. 376:2395-2418 (2023)
In this article, we define amorphic complexity for actions of locally compact $\sigma$-compact amenable groups on compact metric spaces. Amorphic complexity, originally introduced for $\mathbb Z$-actions, is a topological invariant which measures the
Externí odkaz:
http://arxiv.org/abs/2101.05034
We study a standard two-parameter family of area-preserving torus diffeomorphisms, known in theoretical physics as the kicked Harper model, by a combination of topological arguments and KAM-theory. We concentrate on the structure of the parameter set
Externí odkaz:
http://arxiv.org/abs/2003.00551
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The aim of this article is to obtain a better understanding and classification of strictly ergodic topological dynamical systems with discrete spectrum. To that end, we first determine when an isomorphic maximal equicontinuous factor map of a minimal
Externí odkaz:
http://arxiv.org/abs/1908.05207
The classical fold bifurcation is a paradigmatic example of a critical transition. It has been used in a variety of contexts, including in particular ecology and climate science, to motivate the role of slow recovery rates and increased autocorrelati
Externí odkaz:
http://arxiv.org/abs/1904.06507
We study the dynamical properties of irregular model sets and show that the translation action on their hull always admits an infinite independence set. The dynamics can therefore not be tame and the topological sequence entropy is strictly positive.
Externí odkaz:
http://arxiv.org/abs/1811.06283
Autor:
Hauser, Till, Jäger, Tobias
We show that for group actions on locally connected spaces the maximal equicontinuous factor map is always monotone, that is, the preimages of single points are connected. As an application, we obtain that if the maximal continuous factor of a homeom
Externí odkaz:
http://arxiv.org/abs/1711.05672