Categories Weekly Update Unique Ergodicity and Square Roots (Weekly Update 10) German and Notes (Weekly Update 9) Quick Update Moduli and Duality (Weekly Update 7) Shadow Orbits and Ryll-Nardzewski (Weekly Update 6) Entropy and Krein-Milman (Weekly Update 5) Entropy and Goldstine (Weekly Update 4) Expanding Maps and Baire Category (Weekly Update 3) Induced Dynamical Systems and Seminorms (Weekly Update 2) Metrization and Flows (Weekly Update 1) Functional Analysis Metrization Theorem Algebraic Topology Exploring Degree Dynamics Upgrading Orbit Equivalences to Conjugacies Topological Entropy and Expansive maps Absolutely Continuous Ergodic Measures Generic Vectors Geodesic Currents and Intersection Numbers Mather Spectrum Part 1 Partially Hyperbolic Example The Ledrappier-Walters formula The Closing Lemma for Expanding Maps Poincare Recurrence Part 2 Perron-Frobenius Operator Magnetic Boundary Rigidity Part 2 Magnetic Boundary Rigidity Part 1 Poincare Map Grognet Part 2 Grognet Part 1 Guillemin-Kazhdan Isospectral Rigidity Magnetic Flows Spring 2021 Semester Fall 2020 Semester An Ergodic Theorem Exploring Modulus Probability Mean and Variance of Negative Binomial Distribution Set Theory Bijection Between Open Interval and Half Open Interval Measure Theory Fat Cantor Set Riemannian Geometry Sasaki Metric Differential Equations Matrix Exponentials Geometry Gauss-Bonnet for disks Cartan's Moving Frame Variational Fields Vertical Pushforward Pushforward of Differential Forms Linearly Independent Vector Fields on the n-Sphere.