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 onedimensional dynamics
with
G. Fuhrmann and
A. Passeggi,
Nonlinearity 34(3):13661388 (2021)
DOI: 10.1088/13616544/abb78c,
arXiv: 1903.05172

Measures and stabilizers of group Cantor actions
with O. Lukina,
Discrete Contin. Dyn. Syst.  A 41(5):20012029 (2021)
DOI: 10.3934/dcds.2020350,
arXiv: 1911.00680

Constant length substitutions, iterated function systems and amorphic complexity
with
G. Fuhrmann,
Math. Z. 295:13851404 (2020)
DOI: 10.1007/s00209019024262,
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):30313065 (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. 371:85358585 (2019)
DOI: 10.1090/tran/7454,
arXiv: 1702.06416

Nonsmooth saddlenode bifurcations II: dimensions of strange attractors
with G. Fuhrmann
and T. Jäger,
Ergodic Theory Dyn. Syst. 38(8):29893011 (2018)
DOI: 10.1017/etds.2017.4,
arXiv: 1412.6054

Some remarks on modified power entropy
with T. Jäger,
Dynamics and Numbers, Contemp. Math. 669:105122 (2016)
DOI: 10.1090/conm/669/13425,
arXiv: 1506.07192

Amorphic complexity
with G. Fuhrmann
and T. Jäger,
Nonlinearity 29(2):528565 (2016)
DOI: 10.1088/09517715/29/2/528,
arXiv: 1503.01036

Coupled skinny baker's maps and the KaplanYorke conjecture
with B. Hunt,
Nonlinearity 26(9):26412667 (2013)
DOI: 10.1088/09517715/26/9/2641,
arXiv: 1303.0030

Dimensions of attractors in pinched skew products
with T. Jäger,
Commun. Math. Phys. 320(1):101119 (2013)
DOI: 10.1007/s0022001317132,
arXiv: 1111.6574
Scientific activities

Thermodynamic formalism  Applications to geometry and number theory  in memory of Bernd O. Stratmann (19572015)
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
