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The Geometry of Fractal Sets

1985
This book contains a rigorous mathematical treatment of the geometrical aspects of sets of both integral and fractional Hausdorff dimension. Questions of local density and the existence of tangents of such sets are studied, as well as the dimensional properties of their projections in various directions.
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Minimal Simplex for IFS Fractal Sets

2009
Fractal sets manipulation and modeling is a difficult task due to their complexity and unpredictability. One of the basic problems is to determine bounds of a fractal set given by some recursive definitions, for example by an Iterated Function System (IFS).
Elena Babace, Ljubisa Kocic
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Dimension and Dynamics for Fractal Recurrent Sets

Journal of the London Mathematical Society, 1986
The author analyses the structure of a class of fractal sets obtained by a formalism introduced by the reviewer. He shows how this structure can be related to the dynamics of subshifts of finite type, and in particular how the Hausdorff dimension of the sets is related to the topological entropy (and in more general cases the pressure of a certain ...
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Stochastic differential equations on fractal sets

Stochastics, 2020
Alireza Khalili Golmankhaneh
exaly  

Diffraction from fractal grating Cantor sets

Journal of Modern Optics, 2016
Dumitru Baleanu   +1 more
exaly  

Fractal interpolation functions for random data sets

Chaos, Solitons and Fractals, 2018
Dah-Chin Luor
exaly  

Unbiased estimation of multi-fractal dimensions of finite data sets

Physica A: Statistical Mechanics and Its Applications, 1996
A J Roberts
exaly  

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