Open Access
October 2010 The unique ergodicity of equicontinuous laminations
Shigenori MATSUMOTO
Hokkaido Math. J. 39(3): 389-403 (October 2010). DOI: 10.14492/hokmj/1288357974

Abstract

We prove that a transversely equicontinuous minimal lamination on a locally compact metric space $Z$ has a transversely invariant nontrivial Radon measure. Moreover if the space $Z$ is compact, then the tranversely invariant Radon measure is shown to be unique up to a scaling.

Citation

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Shigenori MATSUMOTO. "The unique ergodicity of equicontinuous laminations." Hokkaido Math. J. 39 (3) 389 - 403, October 2010. https://doi.org/10.14492/hokmj/1288357974

Information

Published: October 2010
First available in Project Euclid: 29 October 2010

zbMATH: 1213.37044
MathSciNet: MR2743829
Digital Object Identifier: 10.14492/hokmj/1288357974

Subjects:
Primary: 53C12
Secondary: 37C85

Keywords: Foliation , lamination , transversely invariant measure , unique ergodicity

Rights: Copyright © 2010 Hokkaido University, Department of Mathematics

Vol.39 • No. 3 • October 2010
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