Work

Ergodic solenoids and generalized currents

Year: 2009

Type: article

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 with a transversal measure into smooth manifolds, generalizing Ruelle-Sullivan currents.

Source: Library Open Repository (Universidad Complutense Madrid)

DOI: 10.48550/arxiv.0910.2836

Authors: Muñoz, Vicente, Perez-Marco, Ricardo

Institutions: Universidad Complutense de Madrid, Centre National de la Recherche Scientifique, Université Sorbonne Paris Nord, Laboratoire Analyse, Géométrie et Applications

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Ministerio de Economía y Competitividad, Centre National de la Recherche Scientifique

Award: G2854975249