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Schwartzman cycles and ergodic solenoids.

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dc.book.titleEssays in Mathematics and its Applications: In Honor of Stephen Smale's 80th Birthday
dc.contributor.authorMuñoz, Vicente
dc.contributor.authorPérez Marco, Ricardo
dc.contributor.editorPardalos, Panos M.
dc.contributor.editorRassias, Themistcles M.
dc.date.accessioned2023-06-20T05:45:10Z
dc.date.available2023-06-20T05:45:10Z
dc.date.issued2012
dc.description.abstractWe 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.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMEC grant
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/20835
dc.identifier.doi10.1007/978-3-642-28821-0_13
dc.identifier.isbn978-3-642-28820-3
dc.identifier.officialurlhttp://link.springer.com/chapter/10.1007%2F978-3-642-28821-0_13
dc.identifier.relatedurlhttp://arxiv.org/pdf/0910.2837v1.pdf
dc.identifier.urihttps://hdl.handle.net/20.500.14352/45433
dc.journal.titleEssays in Mathematics and its Applications
dc.language.isoeng
dc.page.final333
dc.page.initial295
dc.page.total504
dc.publication.placeSpringer Berlin Heidelberg
dc.publisherSpringer-Verlag
dc.relation.projectIDMTM2007-63582.
dc.rights.accessRightsopen access
dc.subject.cdu517.9
dc.subject.cdu515.1
dc.subject.keywordReal homology
dc.subject.keywordRuelle-Sullivan current
dc.subject.keywordSchwartzman current
dc.subject.keywordSolenoid
dc.subject.keywordErgodic theory.
dc.subject.ucmEcuaciones diferenciales
dc.subject.ucmTopología
dc.subject.unesco1202.07 Ecuaciones en Diferencias
dc.subject.unesco1210 Topología
dc.titleSchwartzman cycles and ergodic solenoids.
dc.typebook part
dcterms.referencesV. Muñoz, R. Pérez-Marco, Ergodic solenoidal homology II: density of ergodic solenoids. Aust. J. Math. Anal. Appl. 6(1), Article 11, 1–8 (2009) V. Muñoz, R. Pérez-Marco, Ergodic solenoids and generalized currents. Revista Matemática Complutense 24, 493–525 (2011) V. Muñoz, R. Perez-Marco, Intersection theory for ergodic solenoids (2009). Arxiv preprint arXiv:0910.2915 V. Muñoz, R. Pérez-Marco, Ergodic solenoidal homology: realization theorem. Commun. Math. Phys. 302, 737–753 (2011) V. Munoz, R. P. Marco, Hodge theory for Riemannian solenoids. Funct. Equ. Math. Anal. 633–657 (2012). Springer D. Ruelle, D. Sullivan, Currents, flows and diffeomorphisms. Topology 14, 319–327 (1975) S. Schwartzman, Asymptotic cycles. Ann. Math. 66(2), 270–284 (1957) R. Thom, Sous-variétés et classes d’homologie des variétés différentiables. I et II. C. R. Acad. Sci. Paris 236, 453–454, 573–575 (1953)
dspace.entity.typePublication

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