منابع مشابه
Quadtrees, Mandelbrot percolation and the modelling of random sets
A selection of these reports is available in PostScript form at the Faculty's anonymous ftp-Abstract Any binary image can be represented by a quadtree. Therefore random quadtrees correspond to bounded random sets in the plane. We discuss various possibilities for randomizing the quadtree. The most natural randomization yields Mandelbrot percolation.
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Mandelbrot multiplicative cascades provide a construction of a dynamical system on a set of probability measures defined by inequalities on moments. To be more specific, beyond the first iteration, the trajectories take values in the set of fixed points of smoothing transformations (i.e., some generalized stable laws). Studying this system leads to a central limit theorem and to its functional ...
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University of Geneva, Departments of Physics and Mathematics, 1211 Geneva 4, Switzerland University of Jyväskylä, Department of Mathematics, P.O. Box 35, FIN-40351 Jyväskylä, Finland [email protected], [email protected], and [email protected] Abstract. We introduce a concept of porosity for measures and study relations between dimensions and porosities for two classes of measure...
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Synthetic colloidal spheres play a central role in applications as diverse as catalysis, medical diagnostics, and photonics. Even as many applications advance toward single-sphere implementations, methods for characterizing colloidal spheres typically offer only sampleaveraged overviews of such properties as spheres’ sizes and porosities. Moreover, such characterization methods as mercury adsor...
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ژورنال
عنوان ژورنال: Journal of Theoretical Probability
سال: 2019
ISSN: 0894-9840,1572-9230
DOI: 10.1007/s10959-019-00895-z