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arXiv · 1607.05957

Isospectral Reduction in Infinite Graphs

Pedro Duarte·Maria Joana Torres
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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.

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Pedro Duarte, Maria Joana Torres. 2016-07-20. Isospectral Reduction in Infinite Graphs. https://arxiv.org/abs/1607.05957

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