Fractal Geometry of the Mandelbrot Set

• (videotaped version from MAA Mathfest, 2010)

Complex Dynamics and (Crazy) Topology

• (videotaped version from MAA Mathfest, 2010)

Sierpinski Galore

• (videotaped version from MAA Mathfest, 2010)
  

Dynamic Classification of Escape Time Sierpinski Curve Julia Sets

The Chaos Game and Fractal Movies

Dynamics of zⁿ + C / zⁿ; why n = 2 is crazy

Barcelona CODY Lectures on Dynamics of zⁿ + C / zⁿ

• 1. The Escape Trichotomy
• 2. Structures in the Dynamical Plane
• 3. Structures in the Parameter Planes

Topological Structures in the Julia Sets of Rational Maps

Sao Paulo Lectures on Complex Dynamics

• 1. Crazy Topology and Complex Dynamics
• 2. Structures in the Dynamical Plane of Singularly Perturbed Rational Maps

Chaos Games and Fractal Movies
This is a videotape of the lecture I gave at Madison Area Technical College; it is the lecture I often give at the Math Field Days.

Mandelpinski Necklaces: Structures in the Parameter Plane for zⁿ + C/z^d