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.
Typical rotation number for families of circle maps with singularities
22.09.2023 17:00 - 18:00
Organiser:
H. Bruin, R. Zweimüller
Location:
BME Budapest