Institut für Mathematik

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HS 20

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Description of the talks

Lecture 1 - Basic definitions

Lecture 2 - Rigid rotations

Lecture 3.1 - Rotation number

Lecture 3.2 - Rotation number

Lecture 4 - Omega limit set for homeomorphisms with irrational rotation number

Lecture 5.1 - Conjugacy and semiconjugacy

Lecture 5.2 - Conjugacy and semiconjugacy

Lecture 6 - Linearization of circle diffeomorphisms

Lecture 7 - Typical behaviour and structural stability

Lecture 8 - Continued fraction and Gauss map

Lecture 9.1 - Closest returns and Diophantine conditions

Lecture 9.2 - Closest returns and Diophantine conditions

Lecture 10 - Linear expanding maps

Lecture 11 - Semiconjugacy of the doubling map with the shift map

Lecture 12 - Further dynamical consequences and a conjugacy of the doubling map

Lecture 13 - Classification of expanding circle maps

Corinna Ulcigrai - Lecture notes on Dynamical Systems and Ergodic Theory - Part I

Selim Ghazouani - Lecture notes on Circle Diffeomorphisms

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