Workshop: Typical rotation number for families of circle maps with singularities

Date: 2023-04-12

Time: 09:30 - 10:30

Speaker

Konstantin Khanin, University of Toronto

Abstract

I shall discuss how one can define in a natural way the notion of typical rotation numbers for families of circle maps with singularities.

This problem is related to a well known fact  that in the case of maps with singularities the set of parameters corresponding to irrational rotation numbers has zero Lebesgue measure.

I shall also discuss a natural setting for the Kesten theorem in the case of maps with singularities.