走向现代数学学术报告：罗晓芳博士讲解迭代集值动力系统拓扑熵

• 2025年6月3日消息

中山大学博士生罗晓芳将于2025年6月4日做客汕头大学"走向现代数学"学术报告系列（第797期），带来题为"Topological Entropy of Iterated Set-Valued Dynamical Systems"（迭代集值动力系统的拓扑熵）的前沿数学讲座。

报告详情

• 时间: 2025年6月4日 10:00
• 地点: 汕头大学东海岸校区D实209
• 报告人: 罗晓芳博士生（中山大学）

内容摘要

本次报告将探讨迭代集值函数系统的拓扑熵与伪熵关系。研究突破包括：

1. 证明通过分离/生成集与开覆盖定义的拓扑熵等价性
2. 建立迭代集值系统的斜积系统拓扑熵公式
3. 发现迭代集值系统的拓扑熵是拓扑共轭不变量
4. 证实伪熵与迭代集值系统拓扑熵的等价关系

"就像给复杂数学关系装上了熵变探测仪，"罗博士的研究为动力系统量化分析提供了新标尺。

报告人简介

罗晓芳博士在拓扑动力系统与遍历理论领域成果丰硕，已在《Chaos, Soliton Fract.》等国际期刊发表多篇论文，专业造诣相当于"在微分方程的迷宫中安装了导航系统"。

该系列讲座持续推动汕大数学学科前沿发展，为师生提供与国际水平接轨的学术对话平台。

Shantou University Hosts Lecture on Topological Entropy in Dynamical Systems

• June 3, 2025 News

Ph.D. candidate Luo Xiaofang from Sun Yat-sen University will present cutting-edge research on "Topological Entropy of Iterated Set-Valued Dynamical Systems" at Shantou University's "Towards Modern Mathematics" lecture series (No.797) on June 4, 2025.

Lecture Details

• Time: 10:00 AM, June 4, 2025
• Venue: Room D-209, East Coast Campus
• Speaker: Luo Xiaofang (Sun Yat-sen University)

Research Highlights

The study innovatively:

1. Proves equivalence between topological entropy definitions
2. Establishes entropy formulas for iterated set-valued systems
3. Identifies topological conjugacy invariance
4. Validates consistency between pseudo-entropy and topological entropy

"This work installs an entropy detector for complex mathematical relationships," commented an attendee of Luo's previous talks.

Speaker Profile

Specializing in topological dynamics and ergodic theory, Dr. Luo has published in journals including Chaos, Solitons & Fractals. Her expertise is likened to "equipping differential equations with GPS navigation."

This lecture continues STU's commitment to advancing mathematical frontiers through global academic exchange.

Source: STU Math Institute