Proof of the Hyperplane Zeros Conjecture of Lagarias and Wang

Details Proof of the Hyperplane Zeros Conjecture of Lagarias and Wang Proof of the Hyperplane Zeros Conjecture of Lagarias and Wang

2007-03-09

arxiv.org/abs/math/0703249v1

Mathematics

Algebraic Geometry

25 pages

Scientific paper

We 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.

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