Academic Report of School of Mathematical Sciences [2025] No. 108

(Series Report for High-Level University Construction No. 1210)

Title: An Introduction to Ergodic Optimization, Thermodynamic Formalism, and Multifractal Analysis

Speaker: Professor Zhang Yiwei (Anhui University of Science and Technology, USTC-AUST Center for Fundamental Mathematics)

Time: 16:30-17:30, November 6, 2025 (Thursday)

Location: Classroom 2, Huixing Building, Yuehai Campus, Shenzhen University

Abstract:

In this talk, I will briefly introduce the main content of three interconnected topics in smooth ergodic theory and fractal geometry: ergodic optimization, thermodynamic formalism, and multifractal analysis. I will also summarize some open problems and recent progress in these research areas.

Speaker Profile:

Zhang Yiwei is a Professor at Anhui University of Science and Technology and the USTC-AUST Center for Fundamental Mathematics. His research primarily focuses on ergodic theory and fractal geometry. He has published over 30 papers in journals including Journal of the European Mathematical Society, Proceedings of the London Mathematical Society, Mathematische Annalen, Advances in Mathematics, Annales de l'Institut Henri Poincaré, International Mathematics Research Notices, and Journal of the London Mathematical Society.

All faculty and students are welcome!

Host: Zou Yuru

School of Mathematical Sciences

October 30, 2025