Research

Published papers

  • Rauzy fractals of random substitutions (with A. Mitchell, D. Rust and T. Samuel), Adv. Math., in print (2026) [arXiv]
  • Orbit separation dimension as complexity measure for primitive inflation tilings (with M. Baake and F. Gähler), Ergod. Th. Dynam. Syst. 45 (2025) 2992–3020 [arXiv]
  • Fast dimension spectrum for a potential with a logarithmic singularity (with G. Lamprinakis and J. Schmeling), J. Stat. Phys. 191 (2024): 40 [arXiv]
  • Spectral Characteristics of Schrödinger Operators Generated by Product Systems (with D. Damanik and J. Fillman), J. Spectr. Theory 12 (2023) 1659–1718 [arXiv]
  • Measure theoretic entropy of random substitution subshifts (with A. Mitchell, D. Rust and T. Samuel), Ann. Henri Poincaré 24 (2023) 277–323 [arXiv]
  • Zero Measure Spectrum for Multi-Frequency Schrödinger Operators (with J. Chaika, D. Damanik and J. Fillman), J. Spectr. Theory 12 (2022) 573–590 [arXiv]
  • On a family of singular continuous measures related to the doubling map (with M. Baake, M. Coons and J. Evans), Indag. Math. 32 (2021) 847–860 [arXiv]
  • Spectral properties of Schrödinger operators associated to almost minimal substitution systems (with B. Eichinger), Ann. Henri Poincaré 22 (2021) 1377–1427 [arXiv]
  • Inflation word entropy for semi–compatible random substitutions, Monatsh. Math. 192 (2020) 93–110 [arXiv]
  • Ergodic frequency measures for random substitutions (with T. Spindeler), Studia Math. 55 (2020) 265–301 [arXiv]
  • Scaling properties of the Thue–Morse measure (with M. Baake, M. Kesseböhmer and T. Schindler), Discr. Contin. Dyn. Syst. 39 (2019) 4157–4185 [arXiv]
  • Shifts of finite type and random substitutions (with D. Rust and T. Spindeler), Discr. Contin. Dyn. Syst. 39 (2019) 5085–5103 [arXiv]

Preprints

  • Generalized Thue-Morse measures: spectral and fractal analysis (with M. Kesseböhmer and T. Schindler), preprint (2025) [arXiv]
  • A classification of intrinsic ergodicity for recognisable random substitution systems (with A. Mitchell), preprint (2024) [arXiv]
  • Spectral theory of regular sequences: parametrisation and spectral characterisation (with M. Coons, J. Evans and N. Mañibo), preprint (2023) [arXiv]