On the arithmetic sum of regular Cantor sets

DOI10.1016/S0294-1449(97)80135-7zbMath0895.58020OpenAlexW2084392819MaRDI QIDQ1368894

Jacob Palis, Jean-Christophe Yoccoz

Publication date: 14 September 1998

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1997__14_4_439_0

zbMATH Keywords

perturbationHausdorff dimensionCantor sets

Mathematics Subject Classification ID

Low-dimensional dynamical systems (37E99)

Related Items (6)

N ‐fold sums of Cantor sets ⋮ On the arithmetic difference of middle Cantor sets ⋮ Stable intersection of affine Cantor sets defined by two expanding maps ⋮ Yet another proof of Marstrand's theorem ⋮ A combinatorial proof of Marstrand's theorem for products of regular Cantor sets ⋮ Waring-Hilbert problem on Cantor sets

Cites Work

• Cycles and measure of bifurcation sets for two-dimensional diffeomorphisms
• Homoclinic tangencies for hyperbolic sets of large Hausdorff dimension
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