Work

Expanding actions: minimality and ergodicity

Year: 2016

Type: article

Abstract: We prove that every expanding minimal semigroup action of [Formula: see text] diffeomorphisms of a compact manifold (resp. [Formula: see text] conformal) is robustly minimal (resp. ergodic with respect to the Lebesgue emeasure). We also show how, locally, a blending region yields the robustness of the minimality and implies ergodicity.

Source: Stochastics and Dynamics

DOI: 10.1142/s0219493717500319

Authors: Pablo G. Barrientos, Abbas Fakhari, Dominique Malicet, Aliasghar Sarizadeh

Institutions: Universidade Federal Fluminense, Shahid Beheshti University, Universidade do Estado do Rio de Janeiro, Ilam University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green