The Hausdorff dimension of some fractals and attractors of overlapping construction
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Publication:909314
DOI10.1007/BF01009037zbMath0694.58028MaRDI QIDQ909314
Publication date: 1987
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Measure-preserving transformations (28D05) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
Related Items (18)
Overlap functions for measures in conformal iterated function systems ⋮ Proof of the exact overlaps conjecture for systems with algebraic contractions ⋮ Chaotic attractors of a locally conservative hyperbolic map with overlap ⋮ On the symmetry-breaking bifurcation of chaotic attractors ⋮ The Hausdorff dimension of certain solenoids ⋮ Hausdorff measure of infinitely generated self-similar sets ⋮ Hausdorff dimension of planar self-affine sets and measures ⋮ On the cardinality and complexity of the set of codings for self-similar sets with positive Lebesgue measure ⋮ The Hausdorff dimension of self-affine fractals ⋮ Inverse problems in fractal construction: Moment method solution ⋮ On the Hausdorff dimension of Cantor-like sets with overlaps ⋮ A topological separation condition for fractal attractors ⋮ ON THE DIMENSION OF SELF-SIMILAR SETS ⋮ A new transition for projections of multifractal measures and random maps ⋮ A hybrid of fractal image coding and fractal dimension for an efficient retrieval method ⋮ On the dimension of self-affine sets and measures with overlaps ⋮ Piecewise linear iterated function systems on the line of overlapping construction ⋮ Hausdorff dimension for non-invertible maps
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