Schwartzman Cycles and Ergodic Solenoids

Vicente Muñoz () and Ricardo Pérez Marco ()
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Vicente Muñoz: Universidad Complutense de Madrid, Facultad de Matemáticas
Ricardo Pérez Marco: Université Paris XIII

A chapter in Essays in Mathematics and its Applications, 2012, pp 295-333 from Springer

Abstract: Abstract 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.

Keywords: Smooth Manifold; Homology Class; Compact Riemannian Manifold; Holonomy Group; Trapping Region (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-28821-0_13

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DOI: 10.1007/978-3-642-28821-0_13

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