Besicovitch cascades and bounded partial quotients
2020 ◽
Vol 5
(2)
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pp. 267-278
AbstractThe article continues a series of works studying cylindrical transformations having discrete orbits (Besicovitch cascades). For any γ ∈ (0,1) and any ɛ > 0 we construct a Besicovitch cascade over some rotation with bounded partial quotients, and with a γ–Hölder function, such that the Hausdorff dimension of the set of points in the circle having discrete orbits is greater than 1 − γ− ɛ.
2017 ◽
Vol 13
(09)
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pp. 2433-2443
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2015 ◽
Vol 11
(08)
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pp. 2369-2380
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2009 ◽
Vol 29
(3)
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pp. 919-940
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Keyword(s):
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