Periodicity of certain piecewise affine planar maps
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Publication:946954
DOI10.21099/tkbjm/1496165198zbMath1209.37018OpenAlexW2949445222MaRDI QIDQ946954
Shigeki Akiyama, Wolfgang Steiner, Horst Brunotte, Attila Pethoe
Publication date: 29 September 2008
Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.21099/tkbjm/1496165198
Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Special sequences and polynomials (11B83) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Combinatorial dynamics (types of periodic orbits) (37E15)
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The finiteness property for shift radix systems with general parameters ⋮ Nonlinear rotations on a lattice ⋮ On Nearly Linear Recurrence Sequences ⋮ Renormalizable two-parameter piecewise isometries ⋮ Rotation on the digital plane ⋮ A conjecture of Dekking on the dimensions of the lower central series factors of a certain just infinite Lie algebra ⋮ Finite and periodic orbits of shift radix systems ⋮ Periodic expansion of one by Salem numbers ⋮ Finiteness and periodicity of beta expansions – number theoretical and dynamical open problems ⋮ Sum-free sets generated by the period-\(k\)-folding sequences and some Sturmian sequences ⋮ Asymptotics in a family of linked strip maps
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