EVENT DETAILS AND ABSTRACT

Title: Eigenvalues of Cantor minimal systems of finite topological rank
Speaker: Alejandro Maass
Speaker Info: University of Chile
Brief Description:
Special Note:
Abstract:

In this talk we provide necessary and sufficient conditions that a complex number must verify to be a measurable or a continuous eigenvalue of a topological finite rank minimal Cantor system. These conditions are constructed from the combinatorial information carried by the Bratteli-Vershik representations of such systems. Examples to illustrate the applicability of these conditions are developed for the case of Toeplitz subshifts and symbolic representations of some classes of interval exchange transformations are discussed, in particular the simple case of an irrational rotation of the interval.