Pure Math Post Doc Seminar

Sascha Troscheit, Pure Math Department, University of Waterloo

"Non-linear fractals and Hausdorff measure"

The most commonly studied objects in fractal geometry are ‘self-similar sets’ such as the Cantor middle-third set. They are the invariant sets of linear maps and a great deal is known about them. We will review some of the more important results but will move on to ‘quasi self-similar sets’ which involve non-linear functions and include the quadratic Julia sets. We will see how they differ and why the semicircle has been frustrating me for the past three years.

MC 5403