A sufficient condition for such a union be a shift of finite type was given. Lastly, disjoint unions of these q i-quasiperiodic subshifts, where the qi’s are non-empty finite words over □, were looked into. simple, purely infinite and not isomorphic to any Cuntz-Krieger algebra and. By identifying all periodic points in X q, a necessary and sufficient condition for the q-quasiperiodic subshift X q to be mixing was established. compute the topological entropy for the subshift and show that the KMS-. An infinite subshift has two configurations that are left-asymptotic, which contradicts positive expansivity.) This obviously implies that every temporally periodic point is spatially periodic. It was also shown that the q-quasiperiodic subshift X q, which is the set of all q-quasiperiodic biinfinite words, is a (2| q| – 2)-memory shift of finite type. The relation between biinfinite quasiperiodicity and other notions of symmetry of words were explored. Infinity Surfboards specializes in high end - high performance Surfboard and SUP designs for all ocean sport activities. ![]() We show that, unlike in the case of right infinite words, biinfinite multi-scale quasiperiodicity does not imply uniform recurrence. A quasiperiodic word with an infinite number of quasiperiods is called multi-scale quasiperiodic. Elon Lindenstrauss Li we know that some infinite entropy systems are not inverse limits of finite entropy systems, and therefore are. ![]() In this case, q is said to be a quasiperiod of w. A word w over □ is said to be quasiperiodic if it has a finite proper subword q such that every position of w falls under some occurrence of q.
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