to see that an infinite sequence belongs to the Thue-Morse subshift if and only if. Weiss, B.: Multiple recurrence and doubly minimal systems, topological dynamics and applications (Minneapolis, MN, 1995). It is easy This particular sequence is called the Thue-Morse sequence. Mane, R.: Expansive homeomorphisms and topologcal dimensional. King, J.: A map with topological minimal self-joinings in the sense of del Junco.
Keynes, H.B., Newton, D.: Real prime flows. 7, 211–227 (1987)ĭel Junco, A., Keane, M.: On generic points in the Cartesian square of Chacon’s transformation. 32, 119–140 (2012)ĭel Junco, A.: On minimal self-joinings in topological dynamics. Hochman, M.: On notions of determinism in topological dynamics. product of any pair of infinite, finitely generated and amenable groups. from publication: A family of sand automata We study some.
Infinite subshift download#
AMS Colloquium Publications, Providence (1955) can be realized as the topological entropy of a subshift of finite type (SFT). Download scientific diagram This graph G defines a subshift on its bi-infinite paths. Gottshalk, W., Hedlund, G.: Topological Dynamics.
Glasner, S., Maon, D.: Rigidity in topological dynamics. We call these infinite words leading sequences and call the subshifts admitting them subshifts satisfying the leading sequence condition (LSC). 17(2), 297–305 (1997)įurstenberg, H., Keynes, H.B., Shapiro, L.: Prime flows in topological dynamics. It relies on proving growth along finitely many infinite words, which control the whole subshift in a meaningful way. de Gruyter, Berlin (1996)Īuslander, J., Markley, N.: Isomorphism classes of products of powers for graphic flows. Akin, E., Auslander, J., Berg, K.: When is a transitive map chaotic? Convergence in ergodic theory and probability (Columbus, OH, 1993), 25–40, Ohio State Univ.
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