Local return rates in Sturmian subshifts
Michal Kupsa
TL;DR
This paper derives formulas for local return rates in Sturmian subshifts, a class of symbolic dynamical systems, aiding understanding of their return time distributions.
Contribution
It provides explicit formulas for local return rates specifically within Sturmian subshifts, advancing the analysis of their dynamical properties.
Findings
Formulas for local return rates in Sturmian subshifts
Enhanced understanding of return time distributions in symbolic dynamics
Application of these formulas to analyze dynamical behavior
Abstract
The local return rates have been introduced by Hirata, Saussol and Vaienti \cite{HSV99} as a tool for the study of the asymptotic distribution of the return times to cylinders. We give formulas for these rates in Sturmian subshifts.
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Taxonomy
Topicssemigroups and automata theory · Mathematical Dynamics and Fractals · Quasicrystal Structures and Properties