Work

Two conjectures on coarse conjugacy by Geller and Misiurewicz

Year: 2024

Type: article

Abstract: In their study of coarse entropy, W. Geller and M. Misiurewicz introduced the notion of coarse conjugacy: a version of conjugacy appropriate for dynamics on metric spaces observed from afar. They made two conjectures on coarse conjugacy generalising their results. We disprove both of these conjectures. We investigate the impact of extra assumptions on the validity of the conjectures: We show that the result of Geller and Misiurewicz towards one of the conjectures can be considered optimal, and we prove the other conjecture under an assumption complementary to that from the referenced work.

Source: Discrete and Continuous Dynamical Systems

DOI: 10.3934/dcds.2024111

Author: Damian Sawicki

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Fonds Wetenschappelijk Onderzoek, Vlaamse regering

Award: Von Neumann algebras, ergodic theory and boundary actions

OpenAlex ID: W4402416587

FWCI:

Cites: 7

Cited by:

Related to: 10