报告题目: Multifractal analysis of non-uniformly contracting iterated function systems
报告人：叶远灵教授（华南师范大学）
报告时间：2021年5月21日（周五），下午15：00-16:00
报告地点：腾讯会议 会议 ID：477 288 415
报告摘要：Let $X = [0, 1]$. Given a non-uniformly contracting conformal iterated function system (IFS) $\{ w_j \}_{j = 1}^m$ and a family of positive Dini continuous potential functions $\{ p_j\}_{j=1}^m$, the triple system $(X, \{w_j\}_{j=1}^m,\{p_j\}_{j=1}^m)$, under some conditions, determines uniquely a probability invariant measure, denoted by $\mu$. In this paper, we study pressure function of the system and multifractal structure of $\mu$. We prove that the pressure function is Gateaux differentiable and the multifractal formalism holds, if the IFS $\{ w_j \}_{j = 1}^m$ has non-overlapping.
报告人简介：叶远灵，香港中文大学博士，华南师范大学数学科学学院教授，博士生导师。研究领域为动力系统、分形几何。
