P. Hubert - Rauzy gasket, Arnoux-Yoccoz interval exchange map, Novikov's problem (Part 2)

Pascal Hubert (1) , Fanny Bastien (2)

1 AMU - Aix Marseille Université
2 IF - Institut Fourier

1. Symbolic dynamics: Arnoux - Rauzy words and Rauzy gasket 2. Topology: Arnoux - Yoccoz example and its generalization 3. Novikov’s problem: how dynamics meets topology and together they help to physics 4. Lyapunov exponents for the Rauzy gasket: what do we know about them 5. Multidimensional fraction algorithms: why do they care 6. Open problem session (sometimes, say, more than 30 years open!)

Mots clés: Teichmüller dynamics mapping class groups and applications; Rauzy gasket; Arnoux-Yoccoz; interval exchange map; Novikov's problem

Mots clés: eem2018; Grenoble

Domaines: Mathématiques [math]

Pascal Hubert, Fanny Bastien. P. Hubert - Rauzy gasket, Arnoux-Yoccoz interval exchange map, Novikov's problem (Part 2): Summer School 2018 - Teichmüller dynamics, mapping class groups and applications. 2018. ⟨medihal-01835466⟩