RT Book, Section
T1 Schwartzman cycles and ergodic solenoids.
A1 Muñoz, Vicente
A1 Pérez Marco, Ricardo
A2 Pardalos, Panos M.
A2 Rassias, Themistcles M.
AB 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 classof immersions of solenoids with a trapping region.
PB Springer-Verlag
SN 978-3-642-28820-3
YR 2012
FD 2012
LK https://hdl.handle.net/20.500.14352/45433
UL https://hdl.handle.net/20.500.14352/45433
LA eng
NO V. 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:0910.2915V. 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). SpringerD. 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)
NO MEC grant
DS Docta Complutense
RD 4 may 2024