Hyperbolic Dimension Gaps for Entire Functions (joint with Volker Mayer)
发布时间:2024年04月16日
浏览次数:576
发布者: He Liu
主讲人: Mariusz Urbanski(University of North Texas)
活动时间: 从 2024-04-18 09:00 到 09:50
场地: 线上
Polynomials and entire functions whose hyperbolic dimension is strictly smaller than the Hausdorff dimension of their Julia set are known to exist but in all known examples the latter dimension is maximal, i.e. equal to two. In this talk I will describe hyperbolic entire functions $f$ having Hausdorff dimension of the Julia set $HD (J _f)<2$ and hyperbolic dimension $HypDim(f)<HD(J_f)$.
Zoom Meeting ID: 181 155 584