Isospectral reduction in infinite graphs
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...
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| Format: | article |
| Language: | eng |
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2020
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| Online Access: | http://hdl.handle.net/1822/69039 |
| Country: | Portugal |
| Oai: | oai:repositorium.sdum.uminho.pt:1822/69039 |
| Summary: | 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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