When Cantor Sets Intersect Thickly
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Publication:3142102
DOI10.2307/2154303zbMath0783.28006OpenAlexW4236823082MaRDI QIDQ3142102
Ittai Kan, Brian R. Hunt, James A. Yorke
Publication date: 7 March 1994
Full work available at URL: https://doi.org/10.2307/2154303
Related Items (16)
When the algebraic difference of two central Cantor sets is an interval? ⋮ Fractal projections with an application in number theory ⋮ Intersections of thick compact sets in \(\mathbb{R}^d\) ⋮ One point intersections of middle-α Cantor sets ⋮ Hausdorff Dimension of Cantor Intersections and Robust Heterodimensional Cycles for Heterochaos Horseshoe Maps ⋮ Conditions for the difference set of a central Cantor set to be a Cantorval ⋮ Univoque bases of real numbers: simply normal bases, irregular bases and multiple rationals ⋮ Unstable directions and fractal dimension for skew products with overlaps in fibers ⋮ Random intersections of thick Cantor sets ⋮ Expansions in non-integer bases: lower, middle and top orders ⋮ Cantor sets arising from continued radicals ⋮ Sums of two homogeneous Cantor sets ⋮ Patterns in thick compact sets ⋮ How inhomogeneous Cantor sets can pass a point ⋮ Emergence of wandering stable components ⋮ How likely can a point be in different Cantor sets
Cites Work
- Bifurcation to infinitely many sinks
- Hausdorff dimension and capacities of intersections of sets in n-space
- The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
- Diffeomorphisms with infinitely many sinks
- Intersections of thick Cantor sets
- Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions
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