Ergodic theory of interval exchange maps

Autores: Marcelo Viana
Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 19, Nº 1, 2006, págs. 7-100
Idioma: inglés
Enlaces
- Texto completo
Resumen
- A unified introduction to the dynamics of interval exchange maps and related topics, such as the geometry of translation surfaces, renormalization operators, and Teichm¿uller flows, starting from the basic definitions and culminating with the proof that almost every interval exchange map is uniquely ergodic. Great emphasis is put on examples and geometric interpretations of the main ideas.