报告题目：有限可加向量测度上的随机级联

报告时间：2024-08-23  15:30-16:30

报 告 人：邱彦奇  研究员 （国科大杭州高等研究院）

报告地点：理学院东北楼四楼报告厅（404）

Abstract: We introduce the framework of the action by multiplicative cascades on finitely additive vector measures. Sevelapplications will be discussed. Firstly, we solve the Mandelbrot-Kahaneproblem of determining the exact Fourier dimension of the canonical cascades measures and establish a second order phase transition in this setting. Secondly, we obtain certain Fourier restriction estimate for the cascade measures. Thirdly, we prove the global Holder continuity of the Graf-Mauldin-Williams random homeomorphisms of the unit interval. This talk is based on joint work with XinxinChen, Yong Han and ZipengWang.