Crumpled sheets : A paradigm for multiple scale behavior in nonlinear systems.

Brian DiDonna, University of Pennsylvania;
Bob Geroch, University of Chicago;
Eric Kramer, Simon's Rock College;
Shankar Venkataramani, University of Chicago;
Tom Witten, University of Chicago.

I will give an (elementary) overview of some of the mathematical questions that arise in the multiple scale
analysis of nonlinear systems and illustrate these questions with examples relating to crumpled sheets. I
will then discuss some of the tools and techniques that are used to study this problem. Finally, I will
give my (very biased) perspective on some of the recent results that have been obtained, and comment on
the relevance of these results to other multiple-scale problems.