Ergodic solenoids and generalized currents
classification
🧮 math.DG
math.DS
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solenoidscurrentsergodicgeneralizedabstractassociatedconceptdefine
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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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