Schwartzman cycles and ergodic solenoids

Details Schwartzman cycles and ergodic solenoids Schwartzman cycles and ergodic solenoids

2009-10-15

arxiv.org/abs/0910.2837v1

Mathematics

Differential Geometry

32 pages. We have divided the former preprint arXiv:math/0702501 into three parts. This paper corresponds to the second part

Scientific paper

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.

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