Asymptotic differentiable structure on Cantor set

DOI10.1007/BF02096725zbMath0794.58014OpenAlexW1998350389MaRDI QIDQ1308480

Yunping Jiang

Publication date: 9 January 1994

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02096725

zbMATH Keywords

orbifoldCantor setsscaling functionsMarkov partitionhyperbolic mapsdual Cantor setsubhyperbolic

Mathematics Subject Classification ID

Low-dimensional dynamical systems (37E99) Dynamical systems with hyperbolic behavior (37D99)

Related Items (6)

Anosov diffeomorphisms and \({\gamma}\)-tilings ⋮ On Ulam-von Neumann transformations ⋮ Structural instability of cookie-cutter sets ⋮ Golden tilings ⋮ An asymptotic universal focal decomposition for non-isochronous potentials ⋮ Lyapunov exponents, dual Lyapunov exponents, and multifractal analysis

Cites Work

• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
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