Combinatorics of The Interrupted Period

TL;DR

This paper explores the combinatorial structure of discrete periodicities and how pattern alterations, like scratches on a record, affect the structure of repetitions.

Contribution

It introduces a novel combinatorial analysis of interrupted periodic patterns and their unique structural properties.

Findings

Characterization of the structure caused by pattern alterations

Insights into the combinatorial properties of interrupted repetitions

Potential applications in signal processing and pattern recognition

Abstract

This article is about discrete periodicities and their combinatorial structure. It describes the unique structure caused by the alteration of a pattern in a repetition. That alteration of a pattern could be "heard" as the disturbance that one can hear when a record is scratched and jumps.