报告题目：Weighted topological entropy of random bundle transformations
报告人：周效尧
报告时间：2023年12月10日（周日）10:00-10:50
报告地点：藕舫楼702
主持人：邹瑞
摘要：In this talk, we will introduce the weighted topological entropy in the case of random dynamical systems with an ergodic and compact driving system and give a variational principle for it. This gives an affirmative answer to the question posed by Feng and Huang [Variational principle for weighted topological pressure, J. Math. Pures Appl. 106 (2016), 411-452] in the case of entropy. It also generalizes the relativized variational principle for fibertopological entropy, and provides a topological extension of Hausdorff dimension of invariant sets and random measures on the 2-torus T^2. It is a joint work with Kexiang Yang, Ercai Chen and Zijie Lin.
报告人简介：
周效尧，南京师范大学副教授，从2013年至今一直从事动力系统方向的学习和研究工作。主要研究内容涉及动力系统的熵理论，热力学，以及重分形分析。在Adv. Math.,Ergodic Theory and Dynam. Sys.,Discrete and Contin. Dynam. Sys.,Nonlinearity,J. Diff. Equ.等国内外有影响的学术期刊上发表论文10余篇。主持国家自然科学基金项目2项、江苏省青年基金1项，中国博士后基金3项
数学与统计学院
2023年12月6日