Seminars: S. U. Bazarbaev, Continuity of Green functions of Hausdorff continuous regular compact sets on the parameter space

SEMINARS


Seminar on Modern Problems of Complex Analysis (Sadullaev Seminar) February 23, 2023 11:30, Tashkent, National University of Uzbekistan, Room A304 (Department of Mathematics)

Continuity of Green functions of Hausdorff continuous regular compact sets on the parameter space S. U. Bazarbaev National University of Uzbekistan named after M. Ulugbek, Tashkent
Abstract: In the work of Lyubich, Mane-Sad-Sullivan it was studied of stability and bifurcation theory of a family of rational maps depending on a parameter space $M$. In particular they proved that Hausdorff continuity of Julia sets implies stability and vice-versa. In this work we study relation between Haussdorf continuous regular compact sets and continuity of their Green functions on the parameter space. Website: https://us02web.zoom.us/j/8022228888?pwd=b3M4cFJxUHFnZnpuU3kyWW8vNzg0QT09