MATH 6280

Last Updated

  • Schedule of Classes - February 6, 2017 7:14PM EST
  • Course Catalog - February 6, 2017 7:15PM EST

MATH 6280
Complex Dynamical Systems

Course information provided by the Courses of Study 2016-2017.

Various topics in the dynamics of analytic mappings in one complex variable, such as: Julia and Fatou sets, the Mandelbrot set, Mañé-Sad-Sullivan's theorem on structural stability. Also covers: local theory, including repulsive cycles and the Yoccoz inequality, parabolic points and Ecalle-Voronin invariants, Siegel disks and Yoccoz's proof of the Siegel Brjuno theorem; quasi-conformal mappings and surgery: Sullivan's theorem on non-wandering domains, polynomial-like mappings and renormalization, Shishikura's construction of Hermann rings; puzzles, tableaux and local connectivity problems; and Thurston's topological characterization of rational functions, the spider algorithm, and mating of polynomials.

When Offered Fall.

Prerequisites/Corequisites Prerequisite: MATH 4180.

View Enrollment Information

Syllabi: none

  •   Regular Academic Session. 

  • 4 Credits Stdnt Opt

  • 16758 MATH 6280   LEC 001

  •