Speaker: 林赵锋，国科大杭州高等研究院

Inviter: 范晨捷 副研究员

Title: Fourier decay of cascade measures from product of random functions

Language: Chinese

Time & Venue: 2024.11.06 16:00-17:00 S813

Abstract: 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.