A real number is called p-normal if its orbit under the (times p) map equidistributes for the Lebesgue measure. It is a fundamental problem, motivated by Borel’s normal number Theorem, to study which singular measures are supported on normal numbers. In this talk we will survey the classical approach of Davenport-Erdos-LeVeque, and the recent innovative approach of Hochman-Shmerkin. We will then introduce a new dynamical method to attack this problem for self-conformal measures, that also allows us to estimate their Fourier transform.
Joint work with Federico Rodriguez Hertz and Zhiren Wang.

Zoom link: https://iu.zoom.us/j/661711533?pwd=RTFVTjMrQ1pYTCtIZzIvVGVvODV2QT09
password is 076877 if needed. Speaker(s): Amir Algom (Penn State University)