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VIDEO LIBRARY |
International Conference on Complex Analysis Dedicated to the Memory of Andrei Gonchar and Anatoliy Vitushkin
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Variations of the Pommerenke–Levin–Yoccoz inequality V. A. Timorin State University – Higher School of Economics |
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Abstract: The Pommerenke–Levin–Yoccoz (PLY) inequality describes the dynamics of a complex (single variable) polynomial near a repelling fixed point, namely, it relates the repelling strength with the combinatorial rotation number. A well-known consequence of the PLY inequality is the local connectivity of the Mandelbrot set at points of the main cardioid. I will talk about a generalization of the PLY inequality that is applicable not only to fixed points but also to certain repelling invariant continua. This is a joint project with A. Blokh, G. Levin, and L. Oversteegen. Website: https://us06web.zoom.us/j/85797534479?pwd=ODU1bkNCUk1BNXZ6UEw1ejlsbHdIQT09 * ID: 857 9753 4479. Password: 782747 |