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Published in 2017 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2017.24
Abstract: In this work, we analyze ergodic properties of certain partially hyperbolic attractors whose central direction has a neutral behavior; the main feature is a condition of transversality between the projections of unstable leaves, projecting through…
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Keywords:
attractors manifolds;
measures certain;
hyperbolic attractors;
physical measures ... See more keywords
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Published in 2018 at "Mathematical Notes"
DOI: 10.1134/s0001434618030306
Abstract: For the irrationalitymeasures of the numbers $$\sqrt {2k - 1} $$2k−1 arctan$$\left( {\sqrt {2k - 1} /\left( {k - 1} \right)} \right)$$(2k−1/(k−1)), where k is an even positive integer, upper bounds are presented.
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Keywords:
irrationality measures;
certain numbers;
measures certain;