Konstantin Khanin (University of Toronto):

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

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.