12 citations · 65 across the 36 of their papers we have counts for
Showing 2015 · math.DSShow all
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math.DS2015★ 1 cited
Strong coincidence and Overlap coincidence
Shigeki Akiyama
We show that strong coincidences of a certain many choices of control points are equivalent to overlap coincidence for the suspension tiling of Pisot substitution. The result is va…
math.DS2015
Invariant measure of rotational beta expansion and a problem of Tarski
Shigeki Akiyama, Jonathan Caalim
We study invariant measures of a piecewise expanding map in defined by an expanding similitude modulo lattice. Using the result of Bang on a problem of Tarski, we sh…
math.DS2015
Rotational beta expansion: Ergodicity and Soficness
Shigeki Akiyama, Jonathan Caalim
We study a family of piecewise expanding maps on the plane, generated by composition of a rotation and an expansive similitude of expansion constant . We give two constants $B_1…