12 citations · 65 across the 36 of their papers we have counts for
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math.DS2007
Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions
S. Akiyama, G. Barat, V. Berthe +1
This paper studies tilings related to the beta-transformation when beta is a Pisot number (that is not supposed to be a unit). Then it applies the obtained results to study the set…
math.DS2007
Periodicity of certain piecewise affine planar maps
Shigeki Akiyama, Horst Brunotte, Attila Petho +1
We determine periodic and aperiodic points of certain piecewise affine maps in the Euclidean plane. Using these maps, we prove for $λ\in\{\frac{\pm1\pm\sqrt5}2,\pm\sqrt2,\pm\sqrt3\…