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arXiv · 1206.5690

Discretization of harmonic measures for foliated bundles

Alvarez Sébastien
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Abstract

We prove in this note that there is, for some foliated bundles, a bijective correspondance between Garnett's harmonic measures and measures on the fiber that are stationary for some probability measure on the holonomy group. As a consequence, we show the uniqueness of the harmonic measure in the case of some foliations transverse to projective fiber bundles.

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Alvarez Sébastien. 2012-06-25. Discretization of harmonic measures for foliated bundles. https://arxiv.org/abs/1206.5690

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