Williams, Classification of symbol spaces of finite type, Bull.

$subshift of finite type$

Smale, Diffeomorphisms with many periodic points, Differential and Combinatorial Topology (A symposium in honor of Marston Morse), Princeton University Press, Princeton, N. Parry, Symbolic dynamics and transformations of the unit interval, Trans. Lanford, Zeta functions of restrictions of the shift transformation, ibid, pp. Namely two such sequences of the subshift are close if on a long time interval including time 0 they coincide. In 11, we achieved this separation for, e.g. They also describe the set of all possible sequences executed by a finite state machine. A subshift is endowed with the natural compact metric topology. In mathematics, subshifts of finite type are used to model dynamical systems, and in particular are the objects of study in symbolic dynamics and ergodic theory. It is known from various points of view that SFT's are quite random. Bowen, Markov partitions for axiom A diffeomorphisms, Amer. When the set of forbidden words is finite, the subshift is called a shift of finite type (SFT).

Subshift of finite type