MATHEMATICAL SCIENCES
COLLOQUIUM
| DATE: |
January 25, 2007
|
| TIME: |
4:30 - 5:30 PM
|
| PLACE: |
LN 2205
|
| SPEAKER: |
Luke Rogers (Cornell)
|
| TITLE: |
Analysis on Fractals
|
Abstract
A great many objects in the physical world are so "rough" that they are
not well approximated by familiar integer-dimensional objects like
Euclidean spaces or smooth manifolds. One possible way to model
dynamic processes on these kinds of objects is through the theory of
analysis on fractals, which makes sense of concepts like derivatives,
smooth functions and differential equations on certain types of fractal
sets. I will talk about how these notions are defined, how analysis in
the fractal setting differs from the familiar Euclidean case, and some
recent results. The techniques used come from both harmonic and
functional analysis, and from probability theory.
R E F R E S H M E N T S
4:00 to 4:25 PM
Kenneth W. Anderson
Memorial Reading Room