Work

Modulus of continuity of invariant densities and entropies for piecewise expanding maps

Year: 2025

Type: article

Abstract: Using a perturbation result established by Galatolo and Lucena [Spectral gap and quantitative statistical stability for systems with contracting fibers and Lorenz-like maps. Discrete Contin. Dyn. Syst. 40 (3) (2020), 1309–1360], we obtain quantitative estimates on the continuity of the invariant densities and entropies of the physical measures for some families of piecewise expanding maps. We apply these results to a family of two-dimensional tent maps.

Source: Ergodic Theory and Dynamical Systems

DOI: 10.1017/etds.2025.12

Authors: JOSÉ F. ALVES, ODAUDU ETUBI

Institutions: Universidade do Porto, Centro de Matemática

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

Funders: Ministerio de Economía y Competitividad, Fundação para a Ciência e a Tecnologia, Centro de Matemática Universidade do Porto