S. Skripchenko - Rauzy gasket, Arnoux-Yoccoz interval exchange map, Novikov's problem (Part 1)

Yohan Girard (1) , Sasha Skripchenko (2)

1 IF - Institut Fourier
2 HSE - Vysšaja škola èkonomiki = National Research University Higher School of Economics [Moscow]

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]

Yohan Girard, Sasha Skripchenko. S. Skripchenko - Rauzy gasket, Arnoux-Yoccoz interval exchange map, Novikov's problem (Part 1): Summer School 2018 - Teichmüller dynamics, mapping class groups and applications. 2018. ⟨medihal-01835530⟩