Work

Some relations in topological dynamics

Year: 2024

Type: preprint

Abstract: Relations always play an important role in the study of topological dynamics. Proximal, distal and almost periodic relations are well studied in literature. We further this direction and analogously study the strongly proximal and weakly distal relations. This gives a new class of flows - the weakly distal flows. We observe that the well known Morse-Thue substitution flows and Chacon transformations are weakly distal.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2406.16775

Authors: Auslander, Joseph, Nagar, Anima

Institutions: University of Maryland, College Park, Indian Institute of Technology Delhi

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4400024731

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