MAT1845HS: Introduction to Fractal Geometry and Chaos Theory

Winter 2020: University of Toronto, BA6180, Monday 5-6pm and Tuesday 10am-noon

Instructor: Matilde Marcolli

Brief Course Description

The course will give an introduction to fractal geometry and chaotic dynamics, with an emphasis on geometric aspects. Topics covered will include various notions of fractal dimensions, fractal measures, symbolic dynamics, notions of entropy, chaos in dynamical systems and strange attractors, geometric operators (Laplacians, Dirac, etc.) on fractal objects. The course will be suitable also for students from other departments interested in applications of fractals and chaos.

ANNOUNCEMENT (March 13): Due to new directives from the university, we have to suspend in-person classes. Reading material and additional slides will continue to be posted on this class webpage. Final student presentations will have to be replaced by presentations in the form of a written summary of your chosen reading material (or possibly a remote oral presentation if some convenient method is available)

Slides of Lectures

Summary of Lectures

Some Book References

Reading Materials

Links to articles and reading suggestions: (more will be added as the class progresses)