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arXiv · 0910.2836

Ergodic solenoids and generalized currents

Vicente Muñoz·Ricardo Perez-Marco
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Abstract

We introduce the concept of solenoid as an abstract laminated space. We do a thorough study of solenoids, leading to the notion of ergodic and uniquely ergodic solenoids. We define generalized currents associated with immersions of oriented solenoids with a transversal measure into smooth manifolds, generalizing Ruelle-Sullivan currents.

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Vicente Muñoz, Ricardo Perez-Marco. 2010-09-15. Ergodic solenoids and generalized currents. https://arxiv.org/abs/0910.2836

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