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.