Ergodic solenoids and generalized currents

Details Ergodic solenoids and generalized currents Ergodic solenoids and generalized currents

2009-10-15

arxiv.org/abs/0910.2836v2

Mathematics

Differential Geometry

28 pages, 2 figures. Fully revised presentation of the paper. Accepted in Revista Matematica Complutense. The final publicatio

Scientific paper

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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