报告题目： Fourier dimension of non-linear images of self-similar measures

报告时间：2023/04/22 19:00-22:00

会议地点：腾讯在线会议号：595-252-897

报告摘要： R.Kaufman has shown in the 1980's that all C^2 non-linear images of Bernoulli convolutions have power Fourier decays. This has been extended to self-similar measures with uniform contraction ratios by Y.Y.Chang-X.Gao and C.Mosquera-P. Shmerkin, independently. In this talk, I will first briefly review Kaufman's method and then show how a minor modification of it (plus a result of M. Tsujii) works for all self-similar measures.

报告人简介：吴猛，芬兰奥卢大学（University of Oulu）副教授（Associate Professor）。2013年于法国亚眠大学（Universite de Picardie）获得博士学位。主要研究方向为动力系统和分形几何及其在数论等领域的应用。研究成果已在Ann. Math., Adv. Math. ,Int. Math. Res. Not. 等数学期刊上发表。