# Minimal Bounded Speedups of Toeplitz Flows

## TL;DR

This paper explores the properties of minimal bounded speedups in Toeplitz flows, showing they can differ from Toeplitz flows and providing criteria to identify when they are Toeplitz.

## Contribution

It introduces new techniques to determine whether a minimal bounded speedup of a Toeplitz flow remains Toeplitz and offers conditions for this to occur.

## Key findings

- Minimal bounded speedups may not be Toeplitz flows.
- Techniques to identify Toeplitz property in speedups.
- Sufficient conditions for speedups to be Toeplitz.

## Abstract

We investigate minimal bounded speedups of Toeplitz flows. We demonstrate that the minimal bounded speedup of a Toeplitz flow need not be another Toeplitz flow and describe techniques for determining whether the resulting speedup is Toeplitz. We also provide sufficient conditions to guarantee that the minimal bounded speedup will be a Toeplitz flow.