Dynamical zeta functions for typical extensions of full shifts

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dc.creatorWard, T.
dc.date1999-05-27
dc.date.accessioned2026-07-07T06:31:03Z
dc.date.available2026-07-07T06:31:03Z
dc.descriptionWe consider a family of isometric extensions of the full shift on p symbols (for p a prime) parametrized by a probability space. Using Heath-Brown's work on the Artin conjecture, it is shown that for all but two primes p the set of limit points of the growth rate of periodic points is infinite almost surely. This shows in particular that the dynamical zeta function is not algebraic almost surely.
dc.description6 pages. Finite Fields and Applications, to appear
dc.identifierhttps://arxiv.org/abs/math/9905175
dc.identifierhttp://arxiv.org/abs/math/9905175
dc.identifierFinite Fields and their Applications 5, No.3, 1999, 232-239
dc.identifierdoi:10.1006/ffta.1999.0250
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98504
dc.subjectDynamical Systems
dc.subjectNumber Theory
dc.subject22D40, 58F20
dc.titleDynamical zeta functions for typical extensions of full shifts
dc.typetext

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