Canonical heights and entropy in arithmetic dynamics

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dc.creatorEinsliedler, Manfred
dc.creatorEverest, Graham
dc.creatorWard, Thomas
dc.date1999-11-22
dc.date.accessioned2026-07-07T06:19:56Z
dc.date.available2026-07-07T06:19:56Z
dc.descriptionA system of transformations is associated to a rational point on an elliptic curve. The sequence entropy is connected to the canonical height, and in some cases there is a canonically defined quotient system whose entropy is the canonical height and for which the fibre entropy is accounted for by local heights at primes of bad reduction. The proofs use transcendence theory and a strong form of Siegel's theorem. We go on to extend these ideas to the morphic heights of Call and Goldstine.
dc.description25 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/9911168
dc.identifierhttp://arxiv.org/abs/math/9911168
dc.identifierJournal of Number Theory, 91, No. 2 (2001), 256-273
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95197
dc.subjectNumber Theory
dc.subjectDynamical Systems
dc.subject11G07;58F11
dc.titleCanonical heights and entropy in arithmetic dynamics
dc.typetext

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