41 citations · 53 across the 18 of their papers we have counts for
4 papers · 2 filters
Ergodic solenoidal homology: density of ergodic solenoids
Vicente Muñoz, Ricardo Perez-Marco
A measured solenoid is a laminated space endowed with a tranversal measure invariant by holonomy, as defined in arXiv:0910.2836. A measured solenoid immersed in a smooth manifold p…
Intersection theory for ergodic solenoids
Vicente Muñoz, Ricardo Perez-Marco
We develop the intersection theory associated to immersed, oriented and mea- sured solenoids, which were introduced in arXiv:0910.2836.
Ergodic solenoidal homology: Realization theorem
Vicente Muñoz, Ricardo Perez-Marco
We define generalized currents associated with immersions of abstract oriented solenoids with a transversal measure. We realize geometrically the full real homology of a compact ma…
Schwartzman cycles and ergodic solenoids
Vicente Muñoz, Ricardo Perez-Marco
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 immersio…