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|Title:||Proof of the hyperplane zeros conjecture of Lagarias and Wang|
Expansive endomorphism of torus group
Lojasiewicz's structure theorem for real analytic sets
Resolution of singularities
|Citation:||Lawton, W. (2008-08). Proof of the hyperplane zeros conjecture of Lagarias and Wang. Journal of Fourier Analysis and Applications 14 (4) : 588-605. ScholarBank@NUS Repository. https://doi.org/10.1007/s00041-008-9024-2|
|Abstract:||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. © 2008 Birkhäuser Boston.|
|Source Title:||Journal of Fourier Analysis and Applications|
|Appears in Collections:||Staff Publications|
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