走向现代数学学术报告 - 王子鹏副教授（No. 765)

报告题目：Some Progresses on the Mandelbrot-Kahane Program

报 告 人：王子鹏 副教授（重庆大学）

报告时间：2025年1月3日 10:00

报告地点：东海岸校区 - D实209

报告摘要：In this talk, I will provide a brief overview of our recent progress in the Mandelbrot-Kahane program, which focuses on harmonic analysis on multiplicative cascade models in the context of Kolmogorov’s turbulence theory from 1941. The study of cascade measures, originally initiated by Mandelbrot in 1976, seeks to understand the statistical properties of turbulence, with particular emphasis on Fourier decay and multifractal behavior. This talk is based on our series of joint work with Xinxin Chen(Beijing), Yong Han (Shenzhen), and Yanqi Qiu(Hangzhou).

个人简介：王子鹏 重庆大学数学系副教授，在函数空间上的算子理论及与之相关的分析问题研究中取得了一些进展，相关成果发表或接受在 JFA,TAMS,JFAA等，详细情况可参见 http://math.unicorn365.cn/staff/detail?userId=367。