Symbolic extensions and uniform generators for topological regular flows

TL;DR

This paper extends the theory of symbolic extensions and uniform generators from discrete transformations to topological regular flows, introducing a framework where symbolic extensions are represented by suspension flows over subshifts.

Contribution

It develops a new theoretical framework for symbolic extensions and uniform generators specifically for topological regular flows, expanding existing discrete transformation theories.

Findings

Established a correspondence between symbolic extensions and suspension flows over subshifts.

Extended the concept of uniform generators to topological regular flows.

Provided foundational results for future research in flow dynamics.

Abstract

Building on the theory of symbolic extensions and uniform generators for discrete transformations we develop a similar theory for topological regular flows. In this context a symbolic extension is given by a suspension flow over a subshift.