Bartholdi zeta functions of fractal graphs (Q1010938)
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scientific article; zbMATH DE number 5541095
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bartholdi zeta functions of fractal graphs |
scientific article; zbMATH DE number 5541095 |
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Bartholdi zeta functions of fractal graphs (English)
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7 April 2009
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Summary: Recently, \textit{D. Guido}, \textit{T. Isola}, and \textit{M.L. Lapidus} [``A trace on fractal graphs and the Ihara zeta function'', Trans. Am. Math. Soc. 361, No. 6, 3041-3070 (2009; Zbl 1216.11081)] defined the Ihara zeta function of a fractal graph, and gave a determinant expression of it. We define the Bartholdi zeta function of a fractal graph, and present its determinant expression.
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Bartholdi zeta function
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fractal graph
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determinant
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Iharata zeta function
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determinant expression
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Fuglede-Kadison determinant
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