Toeplitz flows with pure point spectrum
Studia Mathematica, Tome 118 (1996) no. 1, pp. 27-35
We construct strictly ergodic 0-1 Toeplitz flows with pure point spectrum and irrational eigenvalues. It is also shown that the property of being regular is not a measure-theoretic invariant for strictly ergodic Toeplitz flows.
Keywords:
Toeplitz sequence, Sturmian sequence, group extension, pure point spectrum
@article{10_4064_sm_118_1_27_35,
author = {A. Iwanik},
title = {Toeplitz flows with pure point spectrum},
journal = {Studia Mathematica},
pages = {27--35},
year = {1996},
volume = {118},
number = {1},
doi = {10.4064/sm-118-1-27-35},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-118-1-27-35/}
}
A. Iwanik. Toeplitz flows with pure point spectrum. Studia Mathematica, Tome 118 (1996) no. 1, pp. 27-35. doi: 10.4064/sm-118-1-27-35
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