Artin–mazur zeta functions of generalized beta-transformations

抄録

In this paper, we study the Artin–Mazur zeta function of a generalization of the well-known β-transformation introduced by Góra [Invariant densities for generalized β-maps. Ergodic Theory Dynam. Systems 27 (2007), 1583–1598].We show that the Artin– Mazur zeta function can be extended to a meromorphic function via an expansion of 1 defined by using the transformation. As an application, we relate its analytic properties to the algebraic properties of β.

本文言語 English 85-103 19 Kyushu Journal of Mathematics 71 1 https://doi.org/10.2206/kyushujm.71.85 Published - 2017 はい

• 数学 (全般)

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