Mandelbrot Cascades: critical moments, Rajchman measures and Sobolov smoothness

发布时间：2024-02-25 作者：浏览次数：

Speaker:	邱彦奇	DateTime:	2024年2月26日（周一）15：00
Brief Introduction to Speaker: 邱彦奇，国科大杭高院基础物理与数学科学学院研究员。主要研究领域为泛函分析、随机分析和调和分析等分析数学多个领域。		Place:	6号楼323报告厅
Abstract:We introduce a method for estimating weighted sum of random variables on trees. This method on the one hand will allow us to deal with the asymptotic order of moments of Mandelbrot Cascades at critical exponents, and on the other hand will allow us to establish Rajchman property of the random measure arising from the Mandelbrot Cascades, as well as the Sobolev smoothness of the self-convolution of the random measure. The talk is based on joint work with Xinxin Chen, Yong Han and Zipeng Wang.