Add to ORKGIt is a question of Hochman whether any two one-dimensional topologically mixing subshifts of finite type (SFTs) with the same entropy are topologically conjugate when their periodic points are removed. We give a negative answer, in fact we prove the stronger result that there is a canonical correspondence between topological conjugacies of transitive SFTs and topological conjugacies between the systems obtained by removing the periodic points.Comment: 10 pages; v3 adds an introduction, and is accepted in PLM
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For subshifts of finite type, conformal repellers, and conformal horseshoes, we prove that the set o...
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AbstractWe will say that two subshifts are essentially conjugate if they are topologically conjugate...
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A topological dynamical system was defined by Blanchard ([1]) to have topologically completely posit...
AbstractIn this paper we give methods for computing lower bounds on the number of periodic points of...
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AbstractFor continuous self-maps of compact metric spaces, we study the syndetically proximal relati...
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