Proof of the Hyperplane Zeros Conjecture of Lagarias and Wang

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dc.creatorLawton, Wayne
dc.date2007-03-09
dc.date.accessioned2026-07-07T07:51:09Z
dc.date.available2026-07-07T07:51:09Z
dc.descriptionWe prove that a real analytic subset of a torus group that is contained in its image under an expanding endomorphism is a finite union of translates of closed subgroups. This confirms the hyperplane zeros conjecture of Lagarias and Wang for real analytic varieties. Our proof uses real analytic geometry, topological dynamics and Fourier analysis.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/math/0703249
dc.identifierhttp://arxiv.org/abs/math/0703249
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125414
dc.subjectAlgebraic Geometry
dc.subjectDynamical Systems
dc.subject32C05 (Primary); 37B05, 43A40 (Secondary)
dc.titleProof of the Hyperplane Zeros Conjecture of Lagarias and Wang
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