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:
For more information please visit UBC Mathematics Department