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A descriptor of speckle textures using box fractal dimension curve
(Elsevier, 2018-02)
We propose a simple generalization of the box fractal dimension in images by considering the curve obtained from its value as a function of the binarization threshold. This curve can be used to partially describe ordinary ...
Fractal dimension of diffusion-limited aggregation clusters grown on spherical surfaces
(American Physical Society, 2021-01)
In this work we study the fractal properties of diffusion-limited aggregation (DLA) clusters grown on spherical surfaces. Diffusion-limited aggregation clusters, or DLA trees, are highly branched fractal clusters formed ...
Determination of electrokinetic and hydrodynamic parameters of proteins by modeling their electrophoretic mobilities through the electrically charged spherical soft particle
(Wiley VCH Verlag, 2013-03)
This work explores the possibility of using the electrically charged "spherical soft particle" (SSP) to model the electrophoretic mobility of proteins in the low charge regime. The general framework concerning the ...
Surface characterization of reprocessed single-use medical catheters by fractal mass dimension
(World Scientific, 2004-03)
Reprocessing of single-use medical devices is an issue of concern and discussion due to infection risk and operation failure. Cleaning procedures and sterilization processes can produce structural changes and relevant ...
Patterns in random fractals
(Johns Hopkins University Press, 2020-06)
We characterize the existence of certain geometric configurations in the fractal percolation limit set A in terms of the almost sure dimension of A. Some examples of the configurations we study are: homothetic copies of ...
Activity speckle images obtained from box fractal formalism
(Elsevier, 2019-10)
We propose a generalized Box Fractal algorithm to segment activity speckle images. The time history of the intensity value at every pixel of the frames is taken as a time series. The plot of this time series is then ...
A Fractal Model for Predicting Water and Air Permeabilities of Unsaturated Fractured Rocks
(Springer, 2011-12)
A fractal model to predict water and air permeabilities of unsaturated fractured rocks is presented. The derivation of the model is based on physical and geometric concepts. The pattern of the fracture network is assumed ...
Lyapunov exponent, generalized entropies and fractal dimensions
(Springer, 2001-12)
We calculate the maximal Lyapunov exponent, the generalized entropies, the asymptotic distance between nearby trajectories and the fractal dimensions for a finite two-dimensional system at different initial excitation ...
Spatially independent martingales, intersections and applications
(American Mathematical Society, 2018-01)
We define a class of random measures, spatially independent martingales, which we view as a natural generalization of the canonical random discrete set, and which includes as special cases many variants of fractal percolation ...
Improved bounds on the dimensions of sets that avoid approximate arithmetic progressions
(Birkhauser Boston Inc, 2021-02)
We provide quantitative estimates for the supremum of the Hausdorff dimension of sets in the real line which avoid ε-approximations of arithmetic progressions. Some of these estimates are in terms of Szemerédi bounds. In ...