Geodesic
Poorly Approximated Z2-Cocycles For Transformations With Rational Discrete Spectrum
Canadian mathematical bulletin, Tome 34 (1991) no. 3, pp. 338-342

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Let T be an ergodic automorphism with rational discrete spectrum and φ a Z2-cocyle for T. We show that the resulting two-point extension of T is cohomologous to a Morse cocycle if φ is approximated with speed o(1/n).On the other hand, we show by example that this is in general false when the speed of approximation is O(1/n).
DOI : 10.4153/CMB-1991-054-7
Mots-clés : 28D05 
Fieldsteel, Adam. Poorly Approximated Z2-Cocycles For Transformations With Rational Discrete Spectrum. Canadian mathematical bulletin, Tome 34 (1991) no. 3, pp. 338-342. doi: 10.4153/CMB-1991-054-7
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     author = {Fieldsteel, Adam},
     title = {Poorly {Approximated} {Z2-Cocycles} {For} {Transformations} {With} {Rational} {Discrete} {Spectrum}},
     journal = {Canadian mathematical bulletin},
     pages = {338--342},
     year = {1991},
     volume = {34},
     number = {3},
     doi = {10.4153/CMB-1991-054-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-054-7/}
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