# Symbolic extensions and uniform generators for topological regular flows

**Authors:** David Burguet

arXiv: 1812.04285 · 2018-12-12

## 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.

## Key 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.

---
Source: https://tomesphere.com/paper/1812.04285