Analysis Learning Seminar
An Introduction to Self Similar Structures
Christopher Hayes (University of Connecticut)
Friday, April 6, 2018
One category of fractal is the self similar set. Famous examples include the Sierpinski Carpet and Koch Curve and analysis on these types of fractals is currently an active field of research. In this talk we will go over a variety of examples, discuss some construction methods, definitions, commonly used properties such as the open set condition and having a finite post-critical set, and end with comments on how analysis can be done on these sets, in particular the construction of a Dirichlet form on a post-critically finite set.