Zeta Function
The Artin–Mazur zeta function is defined as the formal power series
where Fix(Tn) is the set of fixed points of the n-fold shift. It has a product formula
where γ runs over the closed orbits. For subshifts of finite type, the zeta function is a rational function of z:
Read more about this topic: Subshift Of Finite Type
Famous quotes containing the word function:
“Uses are always much broader than functions, and usually far less contentious. The word function carries overtones of purpose and propriety, of concern with why something was developed rather than with how it has actually been found useful. The function of automobiles is to transport people and objects, but they are used for a variety of other purposes—as homes, offices, bedrooms, henhouses, jetties, breakwaters, even offensive weapons.”
—Frank Smith (b. 1928)