The unique ergodicity of equicontinuous laminations

Shigenori Matsumoto

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arXiv · 1002.0189

The unique ergodicity of equicontinuous laminations

Shigenori Matsumoto

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Abstract

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

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Shigenori Matsumoto. 2010-02-01. The unique ergodicity of equicontinuous laminations. https://arxiv.org/abs/1002.0189

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