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.
Analysis on Graphs and Its Applications Program
Cambridge, ENGLAND
2007
Rilevanza internazionale
su invito
2007
2008
Settore MAT/05 - ANALISI MATEMATICA
English
Bartholdi zeta function; functional equation; determinant formula
Intervento a convegno
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.
Guido, D; Isola, T; Lapidus, M
File in questo prodotto:
File Dimensione Formato  
10.1.1.147.9172.pdf

accesso aperto

Dimensione 205.77 kB
Formato Adobe PDF
205.77 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/26993
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 2
social impact