The definition of the Bartholdi zeta function is extended to the, case of infinite periodic graphs. By means of the analytic determinant for semifinite von Neumann algebras studied by the authors in [7], a determinant formula and functional equations are obtained for this zeta function.
Guido, D., Isola, T., Lapidus, M. (2008). Bartholdi zeta functions for periodic simple graphs. In ANALYSIS ON GRAPHS AND ITS APPLICATIONS (pp.109-122). PROVIDENCE : AMER MATHEMATICAL SOC.
Bartholdi zeta functions for periodic simple graphs
GUIDO, DANIELE;ISOLA, TOMMASO;
2008-01-01
Abstract
The definition of the Bartholdi zeta function is extended to the, case of infinite periodic graphs. By means of the analytic determinant for semifinite von Neumann algebras studied by the authors in [7], a determinant formula and functional equations are obtained for this zeta function.File in questo prodotto:
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