Institute of Mathematics

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MAT686
Seminar: Dynamics on the circle
Zeiten:
Do 08.00 - 09.45 Room: Y27H12 Seats: 50
Organized by
Dr. Frank Trujillo, Prof. Dr. Corinna Ulcigrai

Video Streams

This seminar offers a video stream

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

Talks

24.09.2020
Basic definitions in Dynamical Systems
Lena Johanna Wick
01.10.2020
Rigid circle rotations
Jennifer Nussbaum
08.10.2020
Rotation number
Angela Meier
08.10.2020
Rotation number
Bettina Wohlfender
15.10.2020
Omega limit set for homeomorphisms with irrational rotation number
Sophie Schmidhuber
Universität Zürich
15.10.2020
Omega limit set for homeomorphisms with irrational rotation number
Joel Zülle
22.10.2020
Conjugacy and semiconjugacy
Vanessa Korpinen
22.10.2020
Conjugacy and semiconjugacy
Anna Barbara Mitterer
29.10.2020
Linearization of circle diffeomorphisms
Andrin René Schmucki
29.10.2020
Linearization of circle diffeomorphisms
Ghazaleh Asghari Khonakdari
05.11.2020
Typical behaviour and structural stability
Caroline Böttger
05.11.2020
Typical behaviour and structural stability
Rebekka Rakutt
12.11.2020
Continued fraction and Gauss map
Yves Krähenbühl
University of Zurich
19.11.2020
Closest returns and Diophantine conditions
Lorena De Gasperi
19.11.2020
Closest returns and Diophantine conditions
Livio Peter Zehnder
26.11.2020
Linear expanding maps
Jeremy Suter
03.12.2020
Semiconjugacy of the doubling map with the shift map
Annina Cincera
Universität Zürich
03.12.2020
Semiconjugacy of the doubling map with the shift map
Severina Haas
10.12.2020
Further dynamical consequences and a conjugacy of the doubling map
Tengyingzi Ma
10.12.2020
Further dynamical consequences and a conjugacy of the doubling map
Andreas Oskar Wanner
17.12.2020
Classification of expanding circle maps
Nicolas Huber

Module: MAT686 Seminar: Dynamics on the circle