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Schwartzman cycles and ergodic solenoids.

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Muñoz, Vicente and Pérez Marco, Ricardo (2012) Schwartzman cycles and ergodic solenoids. In Essays in Mathematics and its Applications: In Honor of Stephen Smale's 80th Birthday. Springer-Verlag , Springer Berlin Heidelberg, pp. 295-333. ISBN 978-3-642-28820-3

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Official URL: http://link.springer.com/chapter/10.1007%2F978-3-642-28821-0_13




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.


Item Type:Book Section
Uncontrolled Keywords:Real homology; Ruelle-Sullivan current; Schwartzman current; Solenoid; Ergodic theory.
Subjects:Sciences > Mathematics > Differential equations
Sciences > Mathematics > Topology
ID Code:20835
Deposited On:15 Apr 2013 14:17
Last Modified:12 Dec 2018 15:13

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