Topological and Combinatorial Problems in One-dimensional Complex Dynamics
timetable:
Wed 16 Oct, 10:30 - 11:30, Aula Dini
<< Go back
A proof of MMY conjecture for rotations of high type II
speaker: Davoud Cheraghi (Imperial College London)abstract: Marmi Moussa and Yoccoz conjectured that some error function Upsilon, related to the approximation of the size of Siegel disk by some arithmetic function of the rotation number theta, is a Holder continuous function of theta with exponent 12. Using the renormalization invariant class of Inou and Shishikura, we prove this conjecture for the restriction of Upsilon to a class of high type numbers.
In the first part of the talk we explain the analytic aspects of the proof, and in the second part of the talk we explain the arithmetic part of the proof.
timetable:
Wed 16 Oct, 10:30 - 11:30, Aula Dini
<< Go back