Convergence of zeta functions of graphs

被引:12
|
作者
Clair, B
Mokhtari-Sharghi, S
机构
[1] St Louis Univ, Dept Math, St Louis, MO 63103 USA
[2] Long Isl Univ, Dept Math, Brooklyn, NY 11201 USA
关键词
D O I
10.1090/S0002-9939-02-06532-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The L-2-zeta function of an infinite graph Y (defined previously in a ball around zero) has an analytic extension. For a tower of finite graphs covered by Y, the normalized zeta functions of the finite graphs converge to the L-2-zeta function of Y.
引用
收藏
页码:1881 / 1886
页数:6
相关论文
共 50 条
  • [1] Weighted zeta functions of graphs
    Mizuno, H
    Sato, I
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES B, 2004, 91 (02) : 169 - 183
  • [2] Zeta functions of quantum graphs
    Harrison, J. M.
    Kirsten, K.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (23)
  • [3] Zeta functions from graphs
    Davis, Simon
    [J]. AKCE INTERNATIONAL JOURNAL OF GRAPHS AND COMBINATORICS, 2018, 15 (02) : 224 - 228
  • [4] ZETA FUNCTIONS FOR KAHLER GRAPHS
    Tuerxunmaimaiti, Yaermaimaiti
    Adachi, Toshiaki
    [J]. KODAI MATHEMATICAL JOURNAL, 2018, 41 (02) : 227 - 239
  • [5] Zeta functions of signed graphs
    Li, Deqiong
    Hou, Yaoping
    Wang, Dijian
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2023,
  • [6] Zeta functions of weighted graphs and covering graphs
    Horton, Matthew D.
    Stark, H. M.
    Terras, Audrey A.
    [J]. ANALYSIS ON GRAPHS AND ITS APPLICATIONS, 2008, 77 : 29 - +
  • [7] Benjamini–Schramm convergence and zeta functions
    Anton Deitmar
    [J]. Research in the Mathematical Sciences, 2020, 7
  • [8] CONVERGENCE OF DYNAMIC ZETA-FUNCTIONS
    AURELL, E
    [J]. JOURNAL OF STATISTICAL PHYSICS, 1990, 58 (5-6) : 967 - 995
  • [9] Zeta functions of finite graphs and coverings
    Stark, HM
    Terras, AA
    [J]. ADVANCES IN MATHEMATICS, 1996, 121 (01) : 124 - 165
  • [10] Zeta functions of graphs with Z actions
    Clair, Bryan
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES B, 2009, 99 (01) : 48 - 61