7 citations · 17 across the 8 of their papers we have counts for
8 papers
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…
Exponential Diophantine approximation and symbolic dynamics
Shigeki Akiyama, Teturo Kamae, Hajime Kaneko
We extend the key formula which intertwines multiplicative Markoff-Lagrange spectrum and symbolic dynamics. The proof uses complex analysis and elucidates the strategy of the probl…
Width deviation of convex polygons
Shigeki Akiyama, Teturo Kamae
We consider the width of a convex -gon in the plane along the random direction and study its deviation rate: $$ δ(X_T)=\frac{\sqrt{\ma…
A characterization of eventually periodicity
Teturo Kamae, Dong Han Kim
In this article, we show that the Kamae-Xue complexity function for an infinite sequence classifies eventual periodicity completely. We prove that an infinite binary word $x_1x_2 \…
Infinite Self-Shuffling Words
Émilie Charlier, Teturo Kamae, Svetlana Puzynina +1
In this paper we introduce and study a new property of infinite words: An infinite word , with values in a finite set , is said to be -self-shuffling $(k\g…
Abelian maximal pattern complexity of words
Teturo Kamae, Steven Widmer, Luca Q. Zamboni
In this paper we study the maximal pattern complexity of infinite words up to Abelian equivalence. We compute a lower bound for the Abelian maximal pattern complexity of infinite w…