Some constructions of strictly ergodic non-regular Toeplitz flows
Studia Mathematica, Tome 110 (1994) no. 2, pp. 191-203
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
We give a necessary and sufficient condition for a Toeplitz flow to be strictly ergodic. Next we show that the regularity of a Toeplitz flow is not a topological invariant and define the "eventual regularity" as a sequence; its behavior at infinity is topologically invariant. A relation between regularity and topological entropy is given. Finally, we construct strictly ergodic Toeplitz flows with "good" cyclic approximation and non-discrete spectrum.
@article{10_4064_sm_110_2_191_203,
author = {A. Iwanik and },
title = {Some constructions of strictly ergodic non-regular {Toeplitz} flows},
journal = {Studia Mathematica},
pages = {191--203},
year = {1994},
volume = {110},
number = {2},
doi = {10.4064/sm-110-2-191-203},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-110-2-191-203/}
}
TY - JOUR AU - A. Iwanik AU - TI - Some constructions of strictly ergodic non-regular Toeplitz flows JO - Studia Mathematica PY - 1994 SP - 191 EP - 203 VL - 110 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-110-2-191-203/ DO - 10.4064/sm-110-2-191-203 LA - en ID - 10_4064_sm_110_2_191_203 ER -
A. Iwanik; . Some constructions of strictly ergodic non-regular Toeplitz flows. Studia Mathematica, Tome 110 (1994) no. 2, pp. 191-203. doi: 10.4064/sm-110-2-191-203
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