Orbit counting with an isometric direction

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dc.creatorEverest, G.
dc.creatorStangoe, V.
dc.creatorWard, T.
dc.date2004-07-09
dc.date.accessioned2026-07-07T06:19:53Z
dc.date.available2026-07-07T06:19:53Z
dc.descriptionAnalogues 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.
dc.identifierhttps://arxiv.org/abs/math/0407166
dc.identifierhttp://arxiv.org/abs/math/0407166
dc.identifierContemporary Mathematics, 385, 293-302, 2005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95178
dc.subjectDynamical Systems
dc.subjectNumber Theory
dc.subject37C30
dc.titleOrbit counting with an isometric direction
dc.typetext

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