Isospectral Reduction in Infinite Graphs
Dynamical Systems
2018-06-27 v2
Abstract
L. A. Bunimovich and B. Z. Webb developed a theory for transforming a finite weighted graph while preserving its spectrum, referred as isospectral reduction theory. In this work we extend this theory to a class of operators on Banach spaces that include Markov type operators. We apply this theory to infinite countable weighted graphs admitting a finite structural set to calculate the stationary measures of a family of countable Markov chains.
Keywords
Cite
@article{arxiv.1607.05957,
title = {Isospectral Reduction in Infinite Graphs},
author = {Pedro Duarte and Maria Joana Torres},
journal= {arXiv preprint arXiv:1607.05957},
year = {2018}
}