Topological structure of the sum of two homogeneous Cantor sets

DOI10.1017/etds.2021.156OpenAlexW4220696950WikidataQ114118938 ScholiaQ114118938MaRDI QIDQ5889849

Mehdi Pourbarat

Publication date: 27 April 2023

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/etds.2021.156

zbMATH Keywords

homogeneous Cantor setsPalis conjectureNewhouse's thickness

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)

Related Items (1)

On the structure of arithmetic sums of Cantor sets associated with series

Cites Work

• Unnamed Item
• Unnamed Item
• The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
• On the measure of arithmetic sums of Cantor sets
• On the arithmetic difference of middle Cantor sets
• Diffeomorphisms with infinitely many sinks
• Stable intersections of Cantor sets and homoclinic bifurcations
• The structure of arithmetic sums of affine Cantor sets
• Stable intersection of affine Cantor sets defined by two expanding maps
• Stable intersections of affine Cantor sets
• A Technique of Studying Sums of Central Cantor Sets
• Stable intersection of middle-α Cantor sets
• On the structure of arithmetic sums of Cantor sets with constant ratios of dissection
• Resonance between Cantor sets
• Sum of Cantor sets: Self-similarity and measure
• On the topology of arithmetic sums of regular Cantor sets
• Sums of Cantor sets yielding an interval
• On the topological structure of the arithmetic sum of two Cantor sets
• On the arithmetic sums of Cantor sets
• Stable intersections of regular Cantor sets with large Hausdorff dimensions

This page was built for publication: Topological structure of the sum of two homogeneous Cantor sets