华罗庚青年数学论坛综合报告：Fourier decay of self-conformal measures for non-linear IFS’s

中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

华罗庚青年数学论坛

综合报告

报告人： 王之任 博士（Pennsylvania State University）

题  目：Fourier decay of self-conformal measures for non-linear IFS’s

时  间：2023.06.30（星期五），09:00-10:00

地  点：Zoom会议：885 1766 0161   密码：0630

摘  要：We show that for a C² IFS on R, either up to smooth conjugacy the IFS has vanishing second derivative on its attractor, or the self-conformal measure has polynomial decay of Fourier coefficients. A key argumentis a cocycle version of Dolgopyat's method and resulting spectral gap-type estimates and renewal theorem. This is a joint work with Amir Algom and Federico Rodriguez Hertz.