69 citations · 153 across the 16 of their papers we have counts for
20 papers
Lifts of strictly ergodic subshifts by permutative sliding block codes
Zeyu Kang, Tobias Jäger
Permutative sliding block codes - in the sense of Hedlund - give rise to finite-to- one extensions of subshifts. We provide criteria under which minimality and unique ergodicity ar…
Construction of smooth isomorphic and finite-to-one extensions of irrational rotations which are not almost automorphic
Lino Haupt, Tobias Jäger
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 fact…
Amorphic complexity of group actions with applications to quasicrystals
Gabriel Fuhrmann, Maik Gröger, Tobias Jäger +1
In this article, we define amorphic complexity for actions of locally compact -compact amenable groups on compact metric spaces. Amorphic complexity, originally introduced for $…
Mean equicontinuity, almost automorphy and regularity
Felipe García-Ramos, Tobias Jäger, Xiangdong Ye
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 deter…
Set-oriented numerical computation of rotation sets
Katja Polotzek, Kathrin Padberg-Gehle, Tobias Jäger
We establish a set-oriented algorithm for the numerical approximation of the rotation set of homeomorphisms of the two-torus homotopic to the identity. A theoretical background is…
Model sets with positive entropy in Euclidean cut and project schemes
Tobias Jäger, Daniel Lenz, Christian Oertel
We construct model sets arising from cut and project schemes in Euclidean spaces whose associated Delone dynamical systems have positive toplogical entropy. The construction works…
Toeplitz flows and model sets
Michael Baake, Tobias Jaeger, Daniel Lenz
We show that binary Toeplitz flows can be interpreted as Delone dynamical systems induced by model sets and analyse the quantitative relations between the respective system paramet…
A dynamical decomposition of the torus into pseudo-circles
François Béguin, Sylvain Crovisier, Tobias Jäger
We build an irrational pseudo-rotation of the 2-torus which is semiconjugate to an irrational rotation of the circle in such a way that all the fibres of the semi-conjugacy are pse…
Poincaré theory for decomposable cofrontiers
Tobias Jäger, Andres Koropecki
We extend Poincaré's theory of orientation-preserving homeomorphisms from the circle to circloids with decomposable boundary. As special cases, this includes both decomposable cofr…
Amorphic complexity
G. Fuhrmann, M. Gröger, T. Jäger
We introduce amorphic complexity as a new topological invariant that measures the complexity of dynamical systems in the regime of zero entropy. Its main purpose is to detect the v…
Non-smooth saddle-node bifurcations II: dimensions of strange attractors
Gabriel Fuhrmann, Maik Gröger, Tobias Jäger
We study the geometric and topological properties of strange non-chaotic attractors created in non-smooth saddle-node bifurcations of quasiperiodically forced interval maps. By int…
Irrational rotation factors for conservative torus homeomorphisms
T. Jäger, F. A. Tal
We provide an equivalent characterisation for the existence of one-dimensional irrational rotation factors of conservative torus homeomorphisms that are not eventually annular. It…
Rotation sets and almost periodic sequences
Tobias Jäger, Alejandro Passeggi, Sonja Štimac
We study the rotational behaviour on minimal sets of torus homeomorphisms and show that the associated rotation sets can be any type of line segments as well as non-convex and even…
A model for the nonautonomous Hopf bifurcation
Vasso Anagnostopoulou, Tobias Jäger, Gerhard Keller
Inspired by an example of Grebogi et al [1], we study a class of model systems which exhibit the full two-step scenario for the nonautonomous Hopf bifurcation, as proposed by Arnol…
On Torus Homeomorphisms Semiconjugate to irrational Rotations
Tobias Jäger, Alejandro Passeggi
In the context of the Franks-Misiurewicz Conjecture, we study homeomorphisms of the two-torus semiconjugate to an irrational rotation of the circle. As a special case, this conject…
Random minimality and continuity of invariant graphs in random dynamical systems
Tobias Jäger, Gerhard Keller
We study dynamical systems forced by a combination of random and deterministic noise and provide criteria, in terms of Lyapunov exponents, for the existence of random attractors wi…
A Classification of Minimal Sets of Torus Homeomorphisms
Tobias Jaeger, Ferry Kwakkel, Alejandro Passeggi
We provide a classification of minimal sets of homeomorphisms of the two-torus, in terms of the structure of their complement. We show that this structure is exactly one of the fol…
Elliptic stars in a chaotic night
T. Jaeger
We study homeomorphisms of the two-torus, homotopic to the identity, whose rotation set has non-empty interior. For such maps, we give a purely topological characterisation of elli…
Strangely dispersed minimal sets in the quasiperiodically forced Arnold map
P. Glendinning, T. Jaeger, J. Stark
We study quasiperiodically forced circle endomorphisms, homotopic to the identity, and show that under suitable conditions these exhibit uncountably many minimal sets with a compli…
Linearisation of conservative toral homeomorphisms
T. Jaeger
We give an equivalent characterisation for the existence of a semi-conjugacy to an irrational rotation for conservative homeomorphisms of the two-torus. This leads to an analogue o…