Work

Anosov diffeomorphisms of open surfaces

Year: 2025

Type: article

Abstract: We study the existence of Anosov diffeomorphisms on complete open surfaces. We show that under the assumptions of density of periodic points and uniform geometry that such diffeomorphisms have a system of Margulis measures, which are a holonomy invariant and dynamically invariant system of measures along the stable and unstable leaves.

Source: Geometriae Dedicata

DOI: 10.1007/s10711-025-01020-7

Authors: Snir Ben Ovadia, Jonathan DeWitt

Institutions: Pennsylvania State University, University of Maryland, College Park

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,090

Funder: National Science Foundation