Ergodic Theory of Interval Exchange Maps

  • Marcelo Viana

Resumo

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.

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Publicado
2006-04-27
Como Citar
Viana M. . (2006). Ergodic Theory of Interval Exchange Maps. Revista Matemática Complutense, 19(1), 7-100. https://doi.org/10.5209/rev_REMA.2006.v19.n1.16621
Secção
Artículos