Seminars: A. S. Begmatov, Convergence of renormalizations of circle homeomorphisms with breaks

SEMINARS


Seminar on Modern Problems of Complex Analysis (Sadullaev Seminar) October 26, 2017 12:00, Tashkent, National University of Uzbekistan, Room A304 (Department of Mathematics)

Convergence of renormalizations of circle homeomorphisms with breaks A. S. Begmatov Institute of Mathematics, National University of Uzbekistan named by after Mirzo Ulugbek
Abstract: Consider the circle homeomorphisms with a break point and satisfying Katznelson and Ornstein smoothness conditions. Renormalizations of such maps with irrational rotation number, approximated by fractional-linear maps in $C^{1+L_1}$-norm. In addition, renormalizations of two circle homeomorphisms with the same irrational rotation number of bounded type and with the same size of break, converge to each other in $C^{1+L_1}$-norm.