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.

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)

Schedule of Final Presentations