Predavatelj: Henk Bruin (University of Vienna)

Substitution subshift are a wide-spread way of creating aperiodic self-similar patterns. In this talk I want to present how to combine this with a type of renormalization in the space of potential functions. For standard examples, such as the Thue-Morse and the Fibonacci substitution subshift, this been worked out in great detail. The existence of fixed points of the renormalization operator is guaranteed for quite general substitutions, but the precise nature of these fixed points leaves open many questions, also related to thermodynamic questions in one-dimensional quasi-crystals and interval dynamics.
Predavanje bo na PMF Univerze v Zagrebu med 10. in 14. uro v predavalnici 104.