Work

Subshifts on open proximal extensions

Year: 2024

Type: article

Abstract: In this paper, we construct a minimal subshift which is an open proximal extension of its maximal equicontinuous factor. We will show this subshift has positive topological entropy, which gives a negative answer to the question whether open proximal extensions preserve topological entropy. We also show that, in this subshift, its relation corresponding to its maximal equicontinuous factor is the union of the diagonals and the set of entropy pairs.

Source: Discrete and Continuous Dynamical Systems

DOI: 10.3934/dcds.2024176

Authors: Zijie Lin, Kangbo Ouyang

Institution: University of Science and Technology of China

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, China Postdoctoral Science Foundation

Award: G1512006775