2019
Apr
30

# Dynamics Seminar: Iftach Dayan (TAU) "Random walks on the 1-dim torus and an application to normal numbers on fractals"

2:15pm to 3:15pm

## Location:

Ross 70

Abstract: We show that under certain conditions, a random walk on the 1-dim torus by affine expanding maps has 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.