Rational approximations to π and some other numbers
Masayoshi Hata (1993)
Acta Arithmetica
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Displaying similar documents to “Cyclic approximation of ergodic step cocycles over irrational rotations”
Rational approximations to π and some other numbers
Generic smooth cocycles of degree zero over irrational rotations
A. Iwanik (1995)
Studia Mathematica
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If a rotation α of has unbounded partial quotients then “most” of its skew-product diffeomorphic extensions to the 2-torus × defined by cocycles of topological degree zero enjoy nontrivial ergodic properties. In fact they admit a cyclic approximation with speed o(1/n) and have nondiscrete (simple) spectrum. Similar results are obtained for cocycles if α admits a sufficiently good approximation by rationals. For a.e. α and generic cocycles the speed can be improved to o(1/(nlogn))....
On metric diophantine approximation and subsequence ergodic theory.
Nair, R. (1998)
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Spectral properties of skew-product diffeomorphisms of tori
A. Iwanik (1997)
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Christoph Baxa (1994)
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