Mathematics
and Computer Science Speaker Series
California State University, Stanislaus
Date: Friday, March 21, 2008
Time: 4:00 - 5:00 p.m
Room: P102
Speaker: John Rock
Title: A Multifractal Spectrum for Multinomial Measures
Abstract: Specific connections exist between the Minkowski
dimension of certain fractal subsets of the real line, the complex
dimensions of fractal strings, and a new type of dimension spectrum for
multifractal measures. This talk emphasizes some of the techniques used
in the proofs of a few of these connections, including two alternate
computations of the Minkowski dimension for certain sets (one involving
the new spectrum for multifractal measures), and a surprising volume
formula for fractal strings which use complex dimensions.