Skip to main content

Research Repository

Advanced Search

All Outputs (14)

Tame or wild Toeplitz shifts (2023)
Journal Article
Fuhrmann, G., Kellendonk, J., & Yassawi, R. (2023). Tame or wild Toeplitz shifts. Ergodic Theory and Dynamical Systems, 44(5), 1379-1417. https://doi.org/10.1017/etds.2023.58

We investigate tameness of Toeplitz shifts. By introducing the notion of extended Bratteli–Vershik diagrams, we show that such shifts with finite Toeplitz rank are tame if and only if there are at most countably many orbits of singular fibres over th... Read More about Tame or wild Toeplitz shifts.

On the effect of forcing of fold bifurcations and early-warning signals in population dynamics (2022)
Journal Article
Remo, F., Fuhrmann, G., & Jäger, T. (2022). On the effect of forcing of fold bifurcations and early-warning signals in population dynamics. Nonlinearity, 35(12), 6485-6527. https://doi.org/10.1088/1361-6544/ac98ee

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... Read More about On the effect of forcing of fold bifurcations and early-warning signals in population dynamics.

The structure of mean equicontinuous group actions (2022)
Journal Article
Fuhrmann, G., Gröger, M., & Lenz, D. (2022). The structure of mean equicontinuous group actions. Israel Journal of Mathematics, 247, 75-123. https://doi.org/10.1007/s11856-022-2292-8

We study mean equicontinuous actions of locally compact σ-compact amenable groups on compact metric spaces. In this setting, we establish the equivalence of mean equicontinuity and topo-isomorphy to the maximal equicontinuous factor and provide a cha... Read More about The structure of mean equicontinuous group actions.

The bifurcation set as a topological invariant for one-dimensional dynamics (2021)
Journal Article
Fuhrmann, G., Gröger, M., & Passeggi, A. (2021). The bifurcation set as a topological invariant for one-dimensional dynamics. Nonlinearity, 34(3), Article 1366. https://doi.org/10.1088/1361-6544/abb78c

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 small changes of (some of) their endpoints. By assuming a global perspecti... Read More about The bifurcation set as a topological invariant for one-dimensional dynamics.