Research


Publications

  • Spectral characteristics of Schrödinger operators generated by product systems (with David Damanik and Jake Fillman), preprint. arXiv
  • Measure theoretic entropy of random substitution subshifts (with Andrew Mitchell, Dan Rust and Tony Samuel), preprint. arXiv
  • Zero Measure Spectrum for Multi-Frequency Schrödinger Operators (with Jon Chaika, David Damanik and Jake Fillman), J. Spectr. Theory, to appear. arXiv
  • On a family of singular continuous measures related to the doubling map (with Michael Baake, Michael Coons and James Evans), Indag. Math., 32 (2021) 847-860. arXiv
  • Spectral properties of Schrödinger operators associated to almost minimal substitution systems (with Benjamin Eichinger), Ann. Henri Poincaré, 22 (2021) 1377-1427. arXiv
  • Ergodic frequency measures for random substitutions (with Timo Spindeler), Studia Math. 255 (2020) 265-301. arXiv
  • Inflation word entropy for semi-compatible random substitutions, Monatsh. Math. 192 (2020) 93-110. arXiv
  • Shifts of finite type and random substitutions (with Dan Rust and Timo Spindeler), Discrete Contin. Dyn. Syst. 39 (2019) 5085-5103. arXiv
  • Scaling properties of the Thue-Morse measure (with Michael Baake, Marc Kesseböhmer and Tanja Schindler), Discrete Contin. Dyn. Syst. 39 (2019) 4157-4185. arXiv