On the dynamics and recursive properties of multidimensional symbolic systems

162 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Multidimensional sofic shifts without separation and their factors (2010, methodology): “Because d ≥ 3 and Z is a Z ESS, Hochman’s ESS subdynamics realization theorem [11], together with its proof, shows that T i is a Z d soﬁc shift, such that for each 1 ≤ i ≤ d there is a one-block factor map γ i : Z d by the one-block code deﬁned by the rule sending a symbol ( a 1 , a 2 , . . . , a d…”
Entropies realizable by block gluing ℤd shifts of finite type (2015, background): “The concept of a Turing machine (TM) – whose connection to multidimensional symbolic dynamics was established by the work of Berger [4] – has recently seen several important applications in the theory of Z subshifts [8, 9, 1].”