This note covers the following topics: Thomasina's Geometry of
Irregular Forms, The Chaos Game, The Sierpinski Hexagon, Thomasina's Fern
and Valentine's Grouse.
Goal of this course
note is primarily to develop the foundations of geometric measure theory, and
covers in detail a variety of classical subjects. A secondary goal is to
demonstrate some applications and interactions with dynamics and metric number
theory.
This note covers the following topics: Rigidity and inflexibility in conformal dynamics, Hausdorff
dimension and conformal dynamics: Strong convergence of Kleinian groups,
Geometrically finite rational maps and Computation of dimension.