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.