Please use this identifier to cite or link to this item:
|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
|Source:||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|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Feb 21, 2018
checked on Feb 18, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.