Random walks on tori and an application to normal numbers in self-similar sets

Group Actions and Dynamics
Event time: 
Tuesday, January 21, 2020 - 4:00pm
DL 431
Yiftach Dayan
Speaker affiliation: 
Event description: 

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.

Special note: 
Note the unusual day