Talk
Some recent results on multicritical circle maps
Talk by Dr. Gabriela Estevez
Speaker invited by: Prof. Dr. Corinna Ulcigrai
Date: 02.10.23 Time: 15.00 - 16.00 Room: Y27H25
In 1984 Yoccoz proved that any two C^3 orientation-preserving circle homeomorphisms, with the same quantity of non-flat critical points and the same irrational rotation number, are topologically conjugated. For maps with only one critical point, it has been shown that the conjugacy is, in fact, a C^1-diffeomorphism. Moreover, in a total Lebesgue measure set of irrational rotation numbers the conjugacy can be improved to be C^{1+\alpha}. In this talk, we will discuss some recent results concerning the smoothness of the conjugacy for maps with more than one critical point, and how these results are obtained using renormalization.''