报告题目： On r-Neutralized Entropy

报 告 人：董长光 特聘研究员（南开大学）

报告时间：2026年5月7日（周四）9:00-10:00

报告地点：格物楼528报告厅

报告摘要：

In this talk, we will discuss r-neutralized local entropy and r-neutralized entropy. We will review some background on measures of maximal entropy, measures of maximal Hausdorff dimension, and neutralized entropy. We obtain formulas for the r-neutralized local entropy in smooth systems. In particular, for certain hyperbolic systems, we prove the existence of ergodic measures that maximize the r-neutralized entropy. Based on joint work with Qiujie Qiao.

报告人简介：

董长光，毕业于宾夕法尼亚州立大学，师从Katok教授。从事光滑动力系统方面的研究。现为南开大学陈省身数学研究所特聘研究员。在包括Invent. Math., Comm. Math. Phys., Trans. of Amer. Math. Soc.等国际高水平期刊发表多篇论文。