Special Session 13: 

Birkhoff sum fluctuations in substitution dynamical systems

Younghwan Son
POSTECH
Korea
Co-Author(s):    E. Paquette
Abstract:
In this talk we consider Birkhoff sums of eigenfunctions for substitution dynamical systems with incidence matrix having eigenvalues of modulus 1. We will show a central limit theorem for non-coboundary eigenfunctions of the incidence matrix with eigenvalue modulus 1.