Basic Notions Seminar
|
|
|
Lecture 1: Discrete Time Dynamical Systems
|
Lecture 11: Ergodic Theory: Invariant measure and Poincare Recurrence
|
|
Lecture 2: Continuous Time Dynamical Systems
|
Lecture 12: Invariant measures for continuous maps; Convergence of Birkhoff Averages
|
|
Lecture 3: Ordinary Differential Equations
|
Lecture 13: Ergodicity of Lebesgue measure for full branch piecewise affine maps
|
|
Lecture 4: Interval Diffeomorphisms I
|
Lecture 14: Invariant measures via conjugacy
|
|
Lecture 5: Interval Diffeomorphisms II
|
Lecture 15: Physical measures
|
|
Lecture 6: Linear maps
|
Lecture 16: The Gauss map and bounded distortion
|
|
Lecture 7: Local linearisation for contractions I
|
Lecture 17: Ergodicity of Lebesgue measure for full branch maps with bounded distortion
|
|
Lecture 8: Local linearisation for contractions II
|
Lecture 18: Physical measures for piecewise expanding full branch maps
|
|
Lecture 9: Symbolic coding; dynamically defined Cantor sets
|
Lecture 19: Inducing and Young Towers
|
|
Lecture 10: Symbolic coding for piecewise expanding full branch maps
|
Lecture 20: The quadratic family
|