Ergodic Theory Seminar – I. Assani (UNC)
Phillips Hall 332Collatz map as a power-bounded non-singular transformation Ergodic Theory Seminar Website
Collatz map as a power-bounded non-singular transformation Ergodic Theory Seminar Website
Title: Beyond Pisot dynamics Abstract: Pisot conjecture states that substitutive Pisot dynamics implies pure discrete spectrum. We discuss in this lecture current extensions with non-algebraic parameters, obtained in collaboration with W. Steiner and J. Thuswaldner. The Pisot assumption is formulated in terms of Lyapunov … Read more
Title: Herman Rings and Siegel disks: the two most interesting Fatou components in complex dynamics Abstract: It is known that there are five different types of forward invariant components of the Fatou sets of rational maps. Two particularly interesting types of … Read more