Zeta functions for elements of entropy rank one actions

MILES, Richard (2007). Zeta functions for elements of entropy rank one actions. Ergodic Theory and Dynamical Systems, 27 (2), 567-582.

Full text not available from this repository.
Official URL: https://doi.org/10.1017/50143385706000794
Link to published version:: https://doi.org/10.1017/50143385706000794

Abstract

An algebraic $\mathbb{Z}^d$-action of entropy rank one is one for which each element has finite entropy. Using the structure theory of these actions due to Einsiedler and Lind, this paper investigates dynamical zeta functions for elements of the action. An explicit periodic point formula is obtained leading to a uniform parameterization of the zeta functions that arise in expansive components of an expansive action, together with necessary and sufficient conditions for rationality in a more general setting.

Item Type: Article
Departments: Faculty of Social Sciences and Humanities > Teacher Education
Identification Number: https://doi.org/10.1017/50143385706000794
Depositing User: Richard Miles
Date Deposited: 26 Jan 2018 13:41
Last Modified: 26 Jan 2018 13:41
URI: http://shura.shu.ac.uk/id/eprint/17236

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics