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Classification of sofic projective subdynamics of multidimensional shifts of finite type
2014
Transactions of the American Mathematical Society
Motivated by Hochman's notion of subdynamics of a Z d subshift [8] , we define and examine the projective subdynamics of Z d shifts of finite type (SFTs) where we restrict not only the action but also the phase space. We show that any Z sofic shift of positive entropy is the projective subdynamics of a Z 2 (Z d ) SFT, and that there is a simple condition characterizing the class of zero-entropy Z sofic shifts which are not the projective subdynamics of any Z 2 SFT. We define notions of stable
doi:10.1090/s0002-9947-2014-06259-4
fatcat:wrowsd4rpzdevac66gfolaabqm