A class of self-similar fractals with overlap structure
From MaRDI portal
Publication:1383433
DOI10.1006/aama.1997.0560zbMath0894.28003OpenAlexW2087751256MaRDI QIDQ1383433
Publication date: 25 May 1998
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/aama.1997.0560
Related Items (39)
On the Dimensions of Certain Incommensurably Constructed Sets ⋮ Lipschitz equivalence of self-similar sets with exact overlaps ⋮ Conformal iterated function systems with overlaps ⋮ UNIQUE EXPANSION OF POINTS OF A CLASS OF SELF‐SIMILAR SETS WITH OVERLAPS ⋮ Hausdorff dimension of random fractals with overlaps ⋮ On single-matrix graph-directed iterated function systems ⋮ Dimension theory of iterated function systems ⋮ A generalized finite type condition for iterated function systems ⋮ Multifractal structure and product of matrices ⋮ Resistance forms on self-similar sets with finite ramification of finite type ⋮ Sliding of self-similar sets ⋮ Self-affine tiles generated by a finite number of matrices ⋮ Algorithms to test open set condition for self-similar set related to P.V. numbers ⋮ Lipschitz equivalence of fractal sets in \(\mathbb R\) ⋮ Projection pressure and Bowen's equation for a class of self-similar fractals with overlap structure ⋮ SPACE-FILLING CURVES OF SELF-SIMILAR SETS (III): SKELETONS ⋮ Lipschitz equivalence of a class of general Sierpinski carpets ⋮ Multiple codings of self-similar sets with overlaps ⋮ Space-filling curves of self-similar sets (II): edge-to-trail substitution rule ⋮ THE BOUNDARY OF THE ATTRACTOR OF A RECURRENT ITERATED FUNCTION SYSTEM ⋮ A class of Sierpinski carpets with overlaps ⋮ Lipschitz equivalence of generalized \(\{1,3,5\}-\{1,4,5\}\) self-similar sets ⋮ Self-similar fractals: an algorithmic point of view ⋮ On the structure of \(\lambda\)-Cantor set with overlaps ⋮ The structure of a Cantor-like set with overlap ⋮ C^1-embeddings between graph-directed sets ⋮ Intersecting nonhomogeneous Cantor sets with their translations ⋮ Exact Hausdorff and packing measures of Cantor sets with overlaps ⋮ The projection pressure for asymptotically weak separation condition and Bowen's equation ⋮ Approximate self-similarity of a class of cookie-cutter-like sets ⋮ Multifractal structure of convolution of the Cantor measure ⋮ Finite type in measure sense for self-similar sets with overlaps ⋮ ASYMPTOTIC FORMULA ON AVERAGE PATH LENGTH OF A SPECIAL NETWORK BASED ON SIERPINSKI CARPET ⋮ SCALE-FREE AND SMALL-WORLD PROPERTIES OF A SPECIAL HIERARCHICAL NETWORK ⋮ MULTIPLE REPRESENTATIONS OF REAL NUMBERS ON SELF-SIMILAR SETS WITH OVERLAPS ⋮ Multiplication on self-similar sets with overlaps ⋮ Hausdorff dimension of self-similar sets with overlaps ⋮ On the structures and dimensions of Moran sets ⋮ Lipschitz equivalence of self-similar sets
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mesures de Hausdorff et théorie de Perron-Frobenius des matrices non- négatives
- Ergodicity for products of infinite stochastic matrices
- Multifractal measures and a weak separation condition
- Hausdorff Dimension in Graph Directed Constructions
- Weak separation properties for self-similar sets
- Self-Similar Sets 7. A Characterization of Self-Similar Fractals with Positive Hausdorff Measure
- Separation Properties for Self-Similar Sets
- On the Morphology of γ-Expansions with Deleted Digits
- The Hausdorff Dimension of λ-Expansions with Deleted Digits
This page was built for publication: A class of self-similar fractals with overlap structure
