Research Interests
- Low complexity systems and slow entropies
- Dimensions of (strange) attractors
- Skew product dynamics
- Open systems and transient dynamics
Publications and Preprints
-
Amorphic complexity of group actions with applications to quasicrystals
with G. Fuhrmann,
T. Jäger
and D. Kwietniak,
23 pages, Preprint 2021
arXiv: 2101.05034
-
Thermodynamic formalism for transient dynamics on the real line
with M. Keßeböhmer
and J. Jaerisch,
23 pages, Preprint 2019
arXiv: 1905.09077
-
The structure of mean equicontinuous group actions
with
G. Fuhrmann and
D. Lenz,
Israel J. Math., accepted for publication
arXiv: 1812.10219
-
The bifurcation set as a topological invariant for one-dimensional dynamics
with
G. Fuhrmann and
A. Passeggi,
Nonlinearity, accepted for publication
arXiv: 1903.05172
-
Measures and stabilizers of group Cantor actions
with O. Lukina,
Discrete Contin. Dyn. Syst. - A 41(5):2001-2029 (2021)
DOI: 10.3934/dcds.2020350,
arXiv: 1911.00680
-
Constant length substitutions, iterated function systems and amorphic complexity
with
G. Fuhrmann,
Math. Z. 295:1385-1404 (2020)
DOI: 10.1007/s00209-019-02426-2,
arXiv: 1812.10789
-
A classification of aperiodic order via spectral metrics & Jarnìk sets
with M. Keßeböhmer,
A. Mosbach,
T. Samuel
and M. Steffens,
Ergodic Theory Dyn. Syst. 39(11):3031-3065 (2019)
DOI: 10.1017/etds.2018.7,
arXiv: 1601.06435
-
Hyperbolic graphs: critical regularity and box dimension
with L. Díaz,
K. Gelfert
and T. Jäger,
Trans. Am. Math. Soc. 371:8535-8585 (2019)
DOI: 10.1090/tran/7454,
arXiv: 1702.06416
-
Non-smooth saddle-node bifurcations II: dimensions of strange attractors
with G. Fuhrmann
and T. Jäger,
Ergodic Theory Dyn. Syst. 38(8):2989-3011 (2018)
DOI: 10.1017/etds.2017.4,
arXiv: 1412.6054
-
Some remarks on modified power entropy
with T. Jäger,
Dynamics and Numbers, Contemp. Math. 669:105-122 (2016)
DOI: 10.1090/conm/669/13425,
arXiv: 1506.07192
-
Amorphic complexity
with G. Fuhrmann
and T. Jäger,
Nonlinearity 29(2):528-565 (2016)
DOI: 10.1088/0951-7715/29/2/528,
arXiv: 1503.01036
-
Coupled skinny baker's maps and the Kaplan-Yorke conjecture
with B. Hunt,
Nonlinearity 26(9):2641-2667 (2013)
DOI: 10.1088/0951-7715/26/9/2641,
arXiv: 1303.0030
-
Dimensions of attractors in pinched skew products
with T. Jäger,
Commun. Math. Phys. 320(1):101-119 (2013)
DOI: 10.1007/s00220-013-1713-2,
arXiv: 1111.6574
Scientific activities
-
Thermodynamic formalism - Applications to geometry and number theory - in memory of Bernd O. Stratmann (1957-2015)
organized with
K. Falk,
T. Samuel,
M. Keßeböhmer,
S. Munday and
S. Kombrink
(10th - 12th July 2017, Bremen, Germany)
-
Workshop on Fractals, Dynamics and Quasicrystals
organized with
K. Gelfert and
T. Jäger
(5th - 9th October 2015, Wöltingerode, Germany)
-
1st Bremen Winter School on Multifractals and Number Theory
organized with
T. Samuel
(18th - 22nd March 2013, Bremen, Germany)
-
Workshop on Skew Product Dynamics and Multifractal Analysis
organized with
T. Jäger
(1st - 5th October 2012, Luisenthal, Germany)
Teaching
- Lecturer for Ergodentheorie II together with R. Zweimüller at University of Vienna during summer term 2019
- Teaching assistant for 2 tutorials in Analysis 3 at University of Bremen during winter term 2011/2012
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