Title: One-dimensional real and complex dynamics

Description: Advanced material and techniques in one-dimensional dynamics. In real one-dimensional dynamics: circle diffeomorphisms, combinatorics and kneading theory, wandering intervals, ergodic properties and invariant measures, renormalization. For complex one-dimensional maps: Julia, Fatou sets, the Mandelbrot set, fixed point theory, external rays, quadratic-like maps and little Mandelbrot copies.

Offered: Spring

Prerequisite: MAT 533, MAT 536

Credits: 3

Graduate Bulletin Course Information

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