S. Akiyama

activity

20072026

most citedDiscretized rotation has infinitely many periodic orbits

12 citations · 65 across the 36 of their papers we have counts for

collaborators

Showing 2019 · math.DSShow all

2 papers · 2 filters

math.DS2019★ 1 cited

Generic point equivalence and Pisot numbers

Shigeki Akiyama, Hajime Kaneko, Dong Han Kim

Let $β > 1$ be an integer or generally a Pisot number. Put $T (x) = {β x}$ on $[0, 1]$ and let $S : [0, 1] \to [0, 1]$ be a piecewise linear transformation whose slopes have the form $\…

math.DS2019★ 8 cited

Spiral Delone sets and three distance theorem

Shigeki Akiyama

We show that a constant angle progression on the Fermat spiral forms a Delone set if and only if its angle is badly approximable.