Mathematics 271Z

Complex Dynamics, Renormalization, and the Mandelbrot set (220494)

Alex Kapiamba

2026 Fall (4 Credits)

Schedule: TR 1200 PM - 0115 PM

Instructor Permissions: None

Enrollment Cap: n/a

In this course we will introduce and develop the theory of dynamics and iteration in one complex variable. The Mandelbrot set, a fractal now famous both in mathematics and popular culture, is a central object of study in this field; we will focus on exploring this set and the modern techniques used to study it.

Prerequisites:

Basic complex analysis

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