Denjoy’s theorem with exponents

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DOI10.1090/S0002-9939-99-04852-2zbMath0924.58078MaRDI QIDQ4257639

Alec Norton

Publication date: 31 August 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

periodic orbits box dimension Cantor sets circle diffeomorphisms minimal sets upper box dimension Denjoy theorem

Mathematics Subject Classification ID

Fractals (28A80) Low-dimensional dynamical systems (37E99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (5)

Estimating Hausdorff measure for Denjoy maps ⋮ Arc exchange systems and renormalization ⋮ Hausdorff dimension bounds for smoothness of holonomies for codimension 1 hyperbolic dynamics ⋮ Cantor exchange systems and renormalization ⋮ Nonexistence of wandering domains for strongly dissipative infinitely renormalizable Hénon maps at the boundary of chaos

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