Piecewise affine homeomorphisms of the circle and dilation surfaces
Selim Ghazouani (Université Paris-Sud (France))
Abstract: In this talk I will consider the following question: if one picks a piecewise affine map of the circle “at random”, what dynamical behaviour are we likely to observe? The case of standard circle diffeomorphisms has been studied by Herman in the 80s; in this emblematic case the problem can be reduced to theorems close to KAM theory. For the piecewise affine case, we put forward a geometric approach, inspired by methods from both Teichmüller theory and hyperbolic geometry.
dynamical systems
Audience: researchers in the topic
DinAmicI: Another Internet Seminar
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| Organizers: | Alessandra Bianchi, Claudio Bonanno, Marco Lenci, Marcello Seri, Alfonso Sorrentino* |
| *contact for this listing |