UW Rainwater Seminar
Winter 2011
Date: February 22 at 2:30
Location: UW
Padelford C-401
Speaker: Boris Solomyak, University of Washington
Title: Hausdorff dimension for subshifts invariant under the multiplicative integers
Abstract:
Consider the set S of real numbers x in the unit interval, such
that for all n, the n'th and (2n)'th binary digits of x are not both 1.
We find explicitly the Hausdorff dimension of S, and show that it is
strictly smaller than the Minkowski dimension. We put this in a general
context of invariance under the semigroup of multiplicative integers.
(Joint work with Rick Kenyon and Yuval Peres.)