Schwartzman cycles and ergodic solenoids.
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.
| Authors: | ; |
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| Format: | Book chapter |
| Publication date: | 2012 |
| Country: | España |
| Institution: | Universidad Complutense de Madrid (UCM) |
| Repository: | Docta Complutense |
| Language: | English |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/45433 |
| Online Access: | https://hdl.handle.net/20.500.14352/45433 |
| Access Level: | Open access |
| Keyword: | 517.9 515.1 Real homology Ruelle-Sullivan current Schwartzman current Solenoid Ergodic theory. Ecuaciones diferenciales Topología 1202.07 Ecuaciones en Diferencias 1210 Topología |
| Summary: | 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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