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arxiv: 0910.2837 · v1 · submitted 2009-10-15 · 🧮 math.DG · math.DS

Schwartzman cycles and ergodic solenoids

classification 🧮 math.DG math.DS
keywords schwartzmanergodicsolenoidsbeyondbirkhoffclasscyclesdimension
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We extend Schwartzman theory beyond dimension 1 and provide a unified treatment of Ruelle-Sullivan and Schwartzman theories via Birkhoff's ergodic theorem for the class of immersions of solenoids with a trapping region.

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