A Spectral Analysis of The Correlated Random Walk

In this paper, we consider a spectral analysis of the Correlated Random Walk (CRW) on the path. We apply an analytical method for the Quantum Walk to CRW. For the isospectral coin cases, we obtain all of the eigenvalues and the corresponding eigenvectors of the time evolution operator of CRW, and al...

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Bibliographic Details
Published inarXiv.org
Main Authors Ide, Yusuke, Narimatsu, Akihiro
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 31.10.2023
Subjects
Eigenvalues
Eigenvectors
Random walk
Spectrum analysis
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Summary:In this paper, we consider a spectral analysis of the Correlated Random Walk (CRW) on the path. We apply an analytical method for the Quantum Walk to CRW. For the isospectral coin cases, we obtain all of the eigenvalues and the corresponding eigenvectors of the time evolution operator of CRW, and also obtain the limiting distribution.
ISSN:2331-8422