## Harmonic Analysis Seminar: Matthew Bond

• Date: 09/19/2011
Speaker(s):
Matthew Bond
Location:

University of British Columbia

Topic:

Buffon's needle probability for rational product Cantor sets

Description:

Abstract:

We investigate the probability that "Buffon's Needle" lands near a one-dimensional self-similar product set in the complex plane, where the similarity maps have rational centers and identical scalings. If the factors A and B are defined by at most 6 similarities, then the likelihood that the needle intersects an e^{-n}-neighborhood of such a set is at most Cn^{-p/\log\log n} for some p>0.

Other Information: