题目：On the boundary of an immediate attracting basin of a hyperbolic entire function

报告人：丁杰 副教授 太原理工大学

时间：2026.5.22日14:00-15:00 

地点：逸夫楼 1537 

摘要：Let f be a transcendental entire function of finite order which has an attracting periodic point z_0 ofperiod at least 2. Suppose that the set of singularities of the inverse of f is finite and contained in the component U of the Fatou set that contains z_0. Under an additional hypothesis we show that the intersection of the boundary of U with the escaping set has Hausdorff dimension 1. This generalizes a result of Baranski, Karpinska and Zdunik on exponential maps. 

个人简介：丁杰，太原理工大学副教授，2012 年获得山东大学博士学位，多次前往德国访问。近年来，在国内外学术刊物如《Journal of the London Mathematical Society》、《Iseral Journal of Mathematics》、《Journal of Geometric Analysis》、《Journal of the Australian Mathematical society》、《Annales Academiae Scientiarum Fennicae》、《中国科学》、《Computational Methods and Function Theory》、《Chinese Annals of Mathematics》等发表多篇论文。 

报告邀请人：高军杨 李惠 欢迎参加！