Spring 2021
General Information
Weakly Plan
Syllabus
Weekly Plan
| Day | Topic (and a video link) |
|---|---|
| Feb 1 | Canceled (all classes on Feb 1) |
| Feb 3 | Introduction and History |
| Feb 8 | Topological Dynamics: first examples |
| Feb 10 | Topological transitivity |
| Feb 15 | Symbolic Dynamics |
| Feb 17 | Cantor sets in Dynamics |
| Feb 22 | Topological Entropy |
| Feb 24 | Dimension Inequality |
| Mar 1 | Measure Spaces |
| Mar 3 | Measure and Topology |
| Mar 8 | Measure Dynamics |
| Mar 10 | Ergodic Theorems |
| Mar 15 | Existence of Positive Orbits |
| Mar 17 | Periodic Orbits |
| Mar 22 | Conjugacies between circle maps |
| Mar 24 | Lyapunov Exponents |
| Mar 29 | Pseudo-Orbits |
| Mar 31 | Logistic maps |
| Apr 5 | Renormalization |
| Apr 7 | Mandelbrot set |
| Apr 12 | Hyperbolic maps |
| Apr 14 | Stable and Unstable manifolds |
| Apr 19 | Transverse Homoclinic points |
| Apr 21 | Ergodicity of Anosov diffeomorphisms |
| Apr 26 | Circle Homeomorphisms |
| Apr 28 | Denjoy's Theorem |
| May 3 | Small Divisor Problem |
| May 5 | |
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