Subshift of finite type8/5/2023 Thirdly, for the doubling map with asymmetrical holes, we give a sufficient condition such that the survivor set can be identified with a subshift of finite type. This equivalent condition was not mentioned by de Vries and Komornik (2009 Adv. Motivated by this application, we prove that the set of all the unique codings is a subshift of finite type if and only if it is a sofic shift. Subshifts of finite type on the space of finite number of symbols are special discrete dynamical systems which are often called symbolic dynamical systems. Secondly, in the setting of β-expansions, when the set of all the unique codings is not a subshift of finite type, we can calculate in some cases the Hausdorff dimension of the univoque set. Under a strong irreducibility condition (strong specification), we show that Aut() contains any finite group. Using an entropy addition formula derived from this formalism we prove that whenever. Let (, ) be a Z d-subshift of finite type. We introduce the notion of group charts, which gives us a tool to embed an arbitrary H-subshift into a G-subshift. Let G H be two countable amenable groups. Firstly, we calculate the Hausdorff dimension of the set of points of K with multiple codings. On the entropies of subshifts of nite type on countable amenable groups Sebastián Barbieri Abstract. We give three different applications of our main result. With this identification, we can calculate the Hausdorff dimension of K as well as the set of elements in K with unique codings using the machinery of Mauldin and Williams (1988 Trans. The purpose of the present paper is to classify, up to. In this paper we prove, under some assumptions, that K can be identified with a subshift of finite type. We adopt this point of view and define subshifts of finite type via the Parry. Abstract Let K ⊂ R K\subset \mathbb K ⊂ R be a self-similar set generated by some iterated function system.
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