中国科学院数学与系统科学研究院
数学研究所
调和分析及其应用研究中心
学术报告
调和分析和偏微分方程研讨班
报告人：邱彦奇 （国科大杭州高等研究院）
题 目:Harmonic analysis of conservative cascade measures
时 间：2024.11.06（星期三）15：00-16：00
地 点：S813
摘 要：
We will talk about a model of random homeomorphism of the unit interval and its close connection to harmonic analysis such as Fourier restriction estimates, optimal Holder-continuity exponent. The talk is based on joint works with Xinxin Chen, Yong Han and Zipeng Wang.
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报告人：林赵锋 （国科大杭州高等研究院）
题 目:Fourier decay of cascade measures from product of random functions
时 间：2024.11.06（星期三）16：00-17：00
地 点：S813
摘 要：
We construct a new class of complex cascade measures on the unit interval through product of independent self-similar random functions, which is an extension of Kahane’s real Mandelbrot cascades. We prove the existence and non-degeneracy of the limiting complex random measure, and then show that the limiting random measure has polynomial Rajchman property. This talk is based on a joint work with Yanqi Qiu and Mingjie Tan.
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