Dynamics Seminar

Event Information Renormalization of multicritical circle maps
15:10 on Monday November 11, 2019
16:00 on Monday November 11, 2019
BAB026, Bahen Center, 40 St. George St.
Gabriela Alexandra Estevez Jacinto

Universidade de sao Paulo (ICHC)

We study $C^3$ orientation preserving circle homeomorphisms with irrational rotation number and non-flat critical points. By Yoccoz, two of these maps with same irrational rotation are topologically conjugate. In this talk, we define the Renormalization operator of this kind of maps and assuming some properties of this operator we prove that the conjugacy is a $C^{1+\alpha}$ diffeomorphism, for a total Lebesgue measure set of irrational rotation numbers. Joint work with Pablo Guarino (Universidade Federal Fluminense, Brazil).