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Introduction to the theorem of Kerkhoff, Masur and Smillie

Thierry Monteil 1
1 ARITH - Arithmétique informatique
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : The theorem of Kerkhoff, Masur and Smillie asserts that for any connected translation surface S (in particular for any rational polygonal billiard), and for almost every \theta \in \S^1, the flow in the direction is uniquely ergodic.
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Conference papers
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https://hal-lirmm.ccsd.cnrs.fr/lirmm-00804141
Contributor : Gwenaël Richomme <>
Submitted on : Monday, March 25, 2013 - 9:25:10 AM
Last modification on : Thursday, May 24, 2018 - 3:59:21 PM

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  • HAL Id : lirmm-00804141, version 1

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Thierry Monteil. Introduction to the theorem of Kerkhoff, Masur and Smillie. Workshop Arbeitsgemeinschaft: Mathematical Billards, Apr 2010, Franckfurt, Germany. pp.955-1015. ⟨lirmm-00804141⟩

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