A Spectral Analysis of The Correlated Random Walk
Probability
2023-11-01 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2310.20220,
title = {A Spectral Analysis of The Correlated Random Walk},
author = {Yusuke Ide and Akihiro Narimatsu},
journal= {arXiv preprint arXiv:2310.20220},
year = {2023}
}
Comments
14 pages, 2 figures