报告时间：2025年5月11日 9:00开始
报 告 人：陈二才（南京师范大学）
报告地点：9-113
报告题目：Dimensions and entropies under hyperbolic metrics for an expansive homeomorphism
报告摘要：For an expansive homeomorphism, we investigate the relationship among dimension, entropy, and Lyapunov exponents.Motivated by Young’s formula for surface diffeomorphisms, which links dimension and measure-theoretic entropy with hyperbolic ergodic measures, we construct the hyperbolic metric with two distinct Lyapunov exponents logb＞0＞loga. We then examine the relationships between various types of entropiesincluding classical entropy, r-neutralized entropy, and α-estimating entropy and their corresponding dimensions. Furthermore, we establish variational principles for these entropy quantities. This is a joint work with Tassilo Kupper and Yunxiang Xie.
报告人简介：陈二才，南京师范大学数学科学学院，教授、博导，主持多项国家自然科学基金面上项目。研究方向为拓扑动力系统与遍历理论，研究内容涉及混沌理论，熵理论，热力学公式，重分形分析等。研究结果发表在ETDS, Nonlinearity, Adv. Mah, JDE等国内外著名期刊。