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math.DS2012
Geometry and Dynamics of the Besicovitch and Weyl Spaces
Ville Salo, Ilkka Törmä
We study the geometric properties of Cantor subshifts in the Besicovitch space, proving that sofic shifts occupy exactly the homotopy classes of simplicial complexes. In addition,…
math.DS2012★ 1 cited
On Shift Spaces with Algebraic Structure
Ville Salo, Ilkka Törmä
We investigate subshifts with a general algebraic structure and cellular automata on them, with an emphasis on (order-theoretic) lattices. Our main results concern the characteriza…