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…