Title：Fourier dimension of non-linear images of self-similar measures

Speaker：Pro. Meng WU

Time：Tuesday, April 25, from 4 to 5 p.m

Dress：Tencent meeting number：209831674，password：6211

Inviter： Prof. Ying Xiong  

Abstract：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.