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Simplicial systems for interval exchange maps and measured foliations

Published online by Cambridge University Press:  19 September 2008

S. P. Kerckhoff
S. P. Kerckhoff
Affiliation:
School of Mathematics, The Institute for Advanced Study, Princeton, New Jersey 08540, USA
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Abstract

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The spaces of interval exchange maps and measured foliations are considered and an alternative proof that almost all interval exchange maps and measured foliations are uniquely ergodic is given. These spaces are endowed with a refinement process, called a simplicial system, which is studied abstractly and is shown to be normal under a simple assumption. The results follow and thus are a corollary of a more general theorem in a broader setting.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 5 , Issue 2 , June 1985 , pp. 257 - 271
Copyright
Copyright © Cambridge University Press 1985

References

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