The visible part of plane self-similar sets

DOI10.1090/S0002-9939-2012-11312-7zbMath1267.28006arXiv1004.5067OpenAlexW2044798338MaRDI QIDQ4911563

Jonathan M. Fraser, Kenneth J. Falconer

Publication date: 19 March 2013

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

Full work available at URL: https://arxiv.org/abs/1004.5067

zbMATH Keywords

Hausdorff dimensioniterated function systemself-similar setvisible partconvex open set condition

Mathematics Subject Classification ID

Hausdorff and packing measures (28A78)

Related Items (15)

On dimensions of visible parts of self-similar sets with finite rotation groups ⋮ ARITHMETIC ON MORAN SETS ⋮ On the dimension of visible parts ⋮ WEAK SELF-SIMILAR SETS IN SEPARABLE COMPLETE METRIC SPACES ⋮ Separation properties of finite products of hyperbolic iterated function systems ⋮ On boundaries of attractors in dynamical systems ⋮ VISIBILITY OF CARTESIAN PRODUCTS OF CANTOR SETS ⋮ On different forms of self similarity ⋮ Where does a random process hit a fractal barrier? ⋮ Quantitative visibility estimates for unrectifiable sets in the plane ⋮ Interval projections of self-similar sets ⋮ Visible part of dominated self-affine sets in the plane ⋮ Sixty Years of Fractal Projections ⋮ Some Variants of Orponen’s Theorem on Visible Parts of Fractal Sets ⋮ On properties of similarity boundary of attractors in product dynamical systems

Cites Work

• Visibility for self-similar sets of dimension one in the plane
• The Hausdorff dimension of visible sets of planar continua
• Visible parts and dimensions
• Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions
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