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 34(3):1366-1388 (2021)
  DOI: 10.1088/1361-6544/abb78c, 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