DSNT Seminar: Scaling properties of (generalised) Thue-Morse measures

  • Date: 1 December 2023, 10:15–11:15
  • Location: Ångström Laboratory, Å64119
  • Type: Seminar
  • Lecturer: Tanja Schindler (University of Vienna)
  • Organiser: Matematiska institutionen
  • Contact person: Reza Mohammadpour

Tanja Schindler from the University of Vienna holds a seminar with the title "Scaling properties of (generalised) Thue-Morse measures". Welcome to join!

Abstract: The Thue-Morse measure and its generalisations are diffraction measures of simple aperiodic systems. Besides that, they are paradigmatic examples of purely singular continuous probability measures on the unit interval given as an infinite Riesz product. To study their scaling behaviour a classical method, the thermodynamic formalism can be used - which however has to be adapted to an unbounded potential. Besides seeing this method, we will also see how quantitatively the Birkhoff and dimension spectrum changes depending on the point of the singularity. This is joint work with M. Baake, P. Gohlke, and M. Kesseböhmer.

 

This is a seminar in our seminar series on Dynamical Systems and Number Theory (DSNT).

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