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CORR
2007
Springer

Periodicity of certain piecewise affine planar maps

10 years 1 months ago
Periodicity of certain piecewise affine planar maps
We determine periodic and aperiodic points of certain piecewise affine maps in the Euclidean plane. Using these maps, we prove for λ ∈ { ±1± √ 5 2 , ± √ 2, ± √ 3} that all integer sequences (ak)k∈Z satisfying 0 ≤ ak−1 + λak + ak+1 < 1 are periodic.
Shigeki Akiyama, Horst Brunotte, Attila Pethö
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2007
Where CORR
Authors Shigeki Akiyama, Horst Brunotte, Attila Pethö, Wolfgang Steiner
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