Rotation number of primitive vector sequences
Yusuke Suyama
TL;DR
This paper presents a generalized formula for calculating the rotation number of sequences of primitive vectors, extending previous work on unimodular sequences to a broader class of vector sequences.
Contribution
It introduces a new formula for the rotation number of primitive vector sequences, generalizing existing formulas for unimodular sequences.
Findings
Derived a formula for rotation numbers of primitive vector sequences
Extended previous unimodular sequence results to more general sequences
Provides a mathematical tool for analyzing vector sequence rotations
Abstract
We give a formula on the rotation number of a sequence of primitive vectors, which is a generalization of the formula on the rotation number of a unimodular sequence in \cite{Higashitani and Masuda}.
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Taxonomy
TopicsCoding theory and cryptography · graph theory and CDMA systems · Advanced Differential Equations and Dynamical Systems