Activities This Week
Arithmetic applications of o-minimality
Étale descent and definabilization Online
May 18, 10:10—12:00, 2021, online
Speaker
Moshe Kamensky (BGU)
Abstract
We will go over sections 2.4 and 2.5 of the paper
Jerusalem - Be'er Sheva Algebraic Geometry Seminar
TBA
May 19, 15:00—16:30, 2021,
BGU Probability and Ergodic Theory (PET) seminar
Random walks on tori and an application to normality of numbers in self-similar sets. Online
May 20, 11:10—12:00, 2021, Online
Speaker
Yiftach Dayan (Technion)
Abstract
We show that under certain conditions, random walks on a d-dim torus by affine expanding maps have a unique stationary measure. We then use this result to show that given an IFS of contracting similarity maps of the real line with a uniform contraction ratio 1/D, where D is some integer > 1, under some suitable condition, almost every point in the attractor of the given IFS (w.r.t. a natural measure) is normal to base D. (Joint work with Arijit Ganguly and Barak Weiss.)