Ruelle zeta functions for finite digraphs

被引：0
作者：
Morita H. [1 ]
机构：
[1] Muroran Institute of Technology, 27-1 Mizumoto, Muroran
来源：
Linear Algebra and Its Applications | 2021年 / 603卷
关键词：
Determinant expressions; Digraphs; Dynamical systems; Graphs; Zeta functions;
D O I：
10.1016/j.laa.2020.06.011
中图分类号：
学科分类号：
摘要：
Three types of expressions for combinatorial zeta functions are considered. We investigate conditions for reformulating the exponential expression to the Euler product expression, and the Euler product expression to the determinant expression of Hashimoto type. The existence of the determinant expression of Hashimoto type enables one to unify those zetas within a single framework, that is, the Ruelle zeta functions for quasi-finite dynamical systems constructed on finite digraphs, which we call the combinatorial zeta functions. © 2020 Elsevier Inc.
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页码：329 / 358
页数：29
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