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Instructor:
E-mail: Office: Phone: Office hours: |
Victoria Sadovskaya sadovskaya@psu.edu 426 McAllister (814) 863-4140 on Zoom Mondays 4-5 p.m. and by appointment |
Course description:
In this course we will introduce the fundamental concepts
and tools of dynamics, focusing on topological properties of dynamical systems.
The topics will include periodic points, equidistribution, topological transitivity
and mixing, minimality, recurrence, equivalence of dynamical systems, topological
entropy, and structural stability. We will discuss a variety of examples including
circle maps, translations and flows on tori, symbolic dynamical systems, and
hyperbolic toral automorphisms.
Prerequisite: Math 501.
Text (recommended): Introduction to the Modern Theory of Dynamical Systems
by A. Katok and B. Hasselblatt
Syllabus
pdf