The Analyst's Traveling Salesman Problem and Multiresolution Analysis
Raanan Schul
UCLA

We discuss a characterization of sets contained in a curve of finite
length. The results discussed are an extension of work by Peter Jones
and Kate Okikiolu for sets in $\R^d$, to sets lying in Hilbert
space. The charcaterization is done via multiscale geometric analysis
and a geometric analouge of the square function.  This is an example
of a place where one can get rid of `The curse of
dimensionality'. Time permitting, we will also mention some results
for metric spaces by various people. This talk will be self contained.