Ergodic Theory of Interval Exchange Maps

  • Marcelo Viana
DOI: https://doi.org/10.5209/rev_REMA.2006.v19.n1.16621
Keywords: Interval exchange map, Translation surface, Abelian differential, Teich müller flow

Abstract

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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Published
2006-04-27
How to Cite
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
Issue
Vol. 19 No. 1 (2006)
Section
Articles

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