Ergodic solenoids and generalized currents.
| dc.contributor.author | Muñoz, Vicente | |
| dc.contributor.author | Pérez Marco, Ricardo | |
| dc.date.accessioned | 2023-06-20T00:18:45Z | |
| dc.date.available | 2023-06-20T00:18:45Z | |
| dc.date.issued | 2011 | |
| dc.description.abstract | We introduce the concept of solenoid as an abstract laminated space. We do a thorough study of solenoids, leading to the notion of ergodic and uniquely ergodic solenoids. We define generalized currents associated with immersions of oriented solenoids endowed with a transversal measure into smooth manifolds, generalizing Ruelle-Sullivan currents. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/16960 | |
| dc.identifier.doi | 10.1007/s13163-010-0050-7 | |
| dc.identifier.issn | 1988-2807 | |
| dc.identifier.officialurl | http://www.springerlink.com/content/v451801851183553/fulltext.pdf | |
| dc.identifier.relatedurl | http://www.springerlink.com | |
| dc.identifier.relatedurl | http://www.mat.ucm.es/serv/revmat/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/42377 | |
| dc.issue.number | 2 | |
| dc.journal.title | Revista matemática complutense | |
| dc.language.iso | eng | |
| dc.page.final | 525 | |
| dc.page.initial | 493 | |
| dc.publisher | Universidad Complutense de Madrid | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.9 | |
| dc.subject.keyword | Real homology | |
| dc.subject.keyword | Ruelle-Sullivan current | |
| dc.subject.keyword | Solenoid | |
| dc.subject.keyword | Ergodic solenoid | |
| dc.subject.ucm | Ecuaciones diferenciales | |
| dc.subject.unesco | 1202.07 Ecuaciones en Diferencias | |
| dc.title | Ergodic solenoids and generalized currents. | |
| dc.type | journal article | |
| dc.volume.number | 24 | |
| dcterms.references | Dieudonné, J.: Sur le théorème de Lebesgue-Nikodym. Ann. Univ. Grenoble 23, 25–53 (1948) Hurder, S., Mitsumatsu, Y.: The intersection product of transverse invariant measures. Indiana Univ.Math. J. 40(4), 1169–1183 (1991) Moore, C., Schochet, C.: Global Analysis on Foliated Spaces. Mathematical Sciences Research Institute Publications, vol. 9. Springer, Berlin (1988) Muñoz, V., Pérez-Marco, R.: Schwartzman cycles and ergodic solenoids. In: Pardalos, P., Rassias,Th.M. (eds.) Essays in Mathematics and its Applications, Dedicated to Stephen Smale. Springer (to appear) Muñoz, V., Pérez-Marco, R.: Intersection theory for ergodic solenoids. Preprint. arXiv:0910.2915 Muñoz, V., Pérez-Marco, R.: Ergodic solenoidal homology: Realization theorem. Preprint.arXiv:0910.2913 Muñoz, V., Pérez-Marco, R.: Ergodic solenoidal homology II: Density of ergodic solenoids. Aust. J.Math. Anal. Appl. 6(1), 1–8 (2009) Muñoz, V., Pérez-Marco, R.: Hodge theory for Riemannian solenoids. In: Brzdek, J., Rassias, Th.M.(eds.) Functional Equations in Mathematical Analysis. Springer (to appear) Plante, J.F.: Foliations with measure preserving holonomy.Ann. Math. (2) 102(2), 327–361 (1975) Ruelle, D., Sullivan, D.: Currents, flows and iffeomorphisms. Topology 14(4), 319–327 (1975) Thom, R.: Sous-variétés et classes d’homologie des variétés différentiables. I. C. R. Acad. Sci. Paris 236, 453–454 (1953) Thom, R.: Sous-variétés et classes d’homologie des variétés différentiables. II. C. R. Acad. Sci. Paris 236, 573–575(1953) | |
| dspace.entity.type | Publication |
Download
Original bundle
1 - 1 of 1