Orbit counting with an isometric direction

Everest, Graham, Stangoe, Victoria and Ward, Thomas B. (2005) Orbit counting with an isometric direction. Contemporary Mathematics, 385. pp. 293-302.

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Analogues of the prime number theorem and Merten's theorem are well-known for dynamical systems with hyperbolic behaviour. In this paper a 3-adic extension of the circle doubling map is studied. The map has a 3-adic eigendirection in which it behaves like an isometry, and the loss of hyperbolicity leads to weaker asymptotic results on orbit counting than those obtained for hyperbolic maps.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
Related URLs:
Depositing User: Vishal Gautam
Date Deposited: 18 Mar 2011 14:48
Last Modified: 01 Mar 2023 11:30
URI: https://ueaeprints.uea.ac.uk/id/eprint/19711

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