2009/10/15 by Vicente Muñoz, Ricardo Pérez-Marco, Muñoz, Vicente +1
Mathematics · #37A99: 58A25 #55N45 #57R95 #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.0910.2836
openalex publication_date 2009/10/15 · openalex created_date 2023/02/16 · openalex updated_date 2026/07/28
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.