Minimal Bounded Speedups of Toeplitz Flows

Summary · qwen2.5:32b

The study shows that minimal bounded speedups of Toeplitz flows do not necessarily result in other Toeplitz flows, detailing methods to ascertain if the outcome remains Toeplitz. Sufficient conditions are provided to ensure the minimal bounded speedup results in a Toeplitz flow, highlighting nuances in dynamical system transformations.

Excerpt

arXiv:2509.00162v2 Announce Type: replace 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.