8 papers
On the probability of positive finite-time Lyapunov exponents on strange non-chaotic attractors
Flavia Remo, Gabriel Fuhrmann, Tobias Jäger
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…
On the effect of forcing of fold bifurcations and early-warning signals in population dynamics
Flavia Remo, Gabriel Fuhrmann, Tobias Jäger
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, t…
The bifurcation set as a topological invariant for one-dimensional dynamics
Gabriel Fuhrmann, Maik Gröger, Alejandro Passeggi
For a continuous map on the unit interval or circle, we define the bifurcation set to be the collection of those interval holes whose surviving set is sensitive to arbitrarily smal…
On tameness of almost automorphic dynamical systems for general groups
Gabriel Fuhrmann, Dominik Kwietniak
Let be a minimal equicontinuous dynamical system, where is a compact metric space and some topological group acting on . Under very mild assumptions, we show tha…
Constant length substitutions, iterated function systems and amorphic complexity
Gabriel Fuhrmann, Maik Gröger
We show how geometric methods from the general theory of fractal dimensions and iterated function systems can be deployed to study symbolic dynamics in the zero entropy regime. Mor…
The structure of mean equicontinuous group actions
Gabriel Fuhrmann, Maik Gröger, Daniel Lenz
We study mean equicontinuous actions of locally compact -compact amenable groups on compact metric spaces. In this setting, we establish the equivalence of mean equicontinuity a…