Homoclinic points, atoral polynomials, and periodic points of algebraic -actions
Homoclinic points, atoral polynomials, and periodic points of algebraic -actions
Abstract Cyclic algebraic ${\mathbb {Z}^{d}}$ -actions are defined by ideals of Laurent polynomials in $d$ commuting variables. Such an action is expansive precisely when the complex variety of the ideal is disjoint from the multiplicative $d$ -torus. For such expansive actions it is known that the limit of the growth …