Lingrui Wang (Fudan University, Shanghai)

Описание к видео Lingrui Wang (Fudan University, Shanghai)

Title: Asymptotic behaviors of Hausdorff dimensions of radial Julia sets of exponential and cosine functions

Abstract: We will present a four terms asymptotic formula, we have obtained, of the Hausdorff dimension of the radial Julia set $J_r(f_{\lambda})$ for the exponential function $f_{\lambda}(z)=\lambda e^z$ as $\lambda \to 0$. Moreover, we will also discuss the asymptotic behaviour of the Hausdorff dimension of the radial Julia set of cosine functions $f_{a,b}(z)=ae^z+be^{-z}$ as $a,b \to 0$ in various ways. This is a joint work with Prof. Qiu.

Комментарии

Информация по комментариям в разработке

Похожие видео