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The partial captivity condition for U(1) extensions of expanding maps on the circle

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Publication:3188717
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DOI10.1088/0951-7715/29/7/1917zbMath1346.37034arXiv1511.03817OpenAlexW3099867250MaRDI QIDQ3188717

Yushi Nakano, Masato Tsujii, Jens Wittsten

Publication date: 12 August 2016

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.03817


zbMATH Keywords

dynamical systemtransversalitypartial captivitypartially expanding map


Mathematics Subject Classification ID

Generic properties, structural stability of dynamical systems (37C20) Partially hyperbolic systems and dominated splittings (37D30)


Related Items (7)

Higher-dimensional attractors with absolutely continuous invariant probability ⋮ Quenched limit theorems for random U(1) extensions of expanding maps ⋮ VIRTUALLY EXPANDING DYNAMICS ⋮ Flat trace statistics of the transfer operator of a random partially expanding map ⋮ Historic behaviour for nonautonomous contraction mappings ⋮ The spectral gap for transfer operators of torus extensions over expanding maps ⋮ Quantitative statistical properties of two-dimensional partially hyperbolic systems






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