Ruelle zeta functions for finite dynamical systems and Koyama-Nakajima's L-functions.

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Bibliographic Details
Title: Ruelle zeta functions for finite dynamical systems and Koyama-Nakajima's L-functions.
Authors: Yukihiro HATTORI1, Hideaki MORITA1
Source: Proceedings of the Japan Academy, Series A: Mathematical Sciences. Nov2016, Vol. 92 Issue 9, p107-111. 5p.
Subjects: Zeta functions, Ruelle operators, Dynamical systems, L-functions, Artin algebras
Abstract: A complex reflection determines an L-function which is a generalization of the Artin-Mazur zeta function associated with an element of the symmetric group. The present paper shows that the L-function is the Ruelle zeta function associated with a weighted Z-dynamical system. [ABSTRACT FROM AUTHOR]
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Description
Abstract:A complex reflection determines an L-function which is a generalization of the Artin-Mazur zeta function associated with an element of the symmetric group. The present paper shows that the L-function is the Ruelle zeta function associated with a weighted Z-dynamical system. [ABSTRACT FROM AUTHOR]
ISSN:03862194
DOI:10.3792/pjaa.92.107