Shigeki Akiyama

activity

20232026

most citedAn alternative proof for an aperiodic monotile

3 citations · 3 across the 7 of their papers we have counts for

collaborators

Showing math.NTShow all

3 papers · 1 filter

math.NT2025

Discretized Rotation with fixed initial points

Shigeki Akiyama, Bill Mance

We prove that if $max {∣ a_{0} ∣, ∣ a_{1} ∣} \leq 10$ and $λ \in] - 2, 2 [$ , then the sequence defined by $0 \leq a_{n + 2} + λ a_{n + 1} + a_{n} < 1$ is periodic.

math.NT2025

Dynamical systems defined by polynomials with algebraic properties

Shigeki Akiyama, Xiang Gao, Teturo Kamae

Let (x_n; n\in Z) be a bisequence of elements x_n in the 1-dimensional torus R/Z, which is called a stream over R/Z. Let P(z)=a_k z^k+...+a_1 z+a_0 be a polynomial with integer coe…

math.NT2024

Delone sets associated with badly approximable triangles

Shigeki Akiyama, Emily R. Korfanty, Yanli Xu

We construct new Delone sets associated with badly approximable numbers which are expected to have rotationally invariant diffraction. We optimize the discrepancy of corresponding…