![]() ![]() Weiss, B.: Multiple recurrence and doubly minimal systems, topological dynamics and applications (Minneapolis, MN, 1995). 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. ![]() AMS Colloquium Publications, Providence (1955) Gottshalk, W., Hedlund, G.: Topological Dynamics. Here we strengthen this result by showing. We call these infinite words leading sequences and call the subshifts admitting them subshifts satisfying the leading sequence condition (LSC). Gao, Jackson, and Seward proved that every countably infinite group admits a nonempty free subshift X \subseteq 2. Glasner, S., Maon, D.: Rigidity in topological dynamics. It relies on proving growth along finitely many infinite words, which control the whole subshift in a meaningful way. ![]() 17(2), 297–305 (1997)įurstenberg, H., Keynes, H.B., Shapiro, L.: Prime flows in topological dynamics. de Gruyter, Berlin (1996)Īuslander, J., Markley, N.: Isomorphism classes of products of powers for graphic flows. nonatomic, infinite) measures for the subshift X arising from a given aperiodic substitution and the set of distinguished. 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. In the uncountable case, our example has only one minimal subshift (which can be chosen to be any infinite minimal subshift). ![]()
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