On Hausdorff dimension of random fractals.
Dryakhlov, A.V., Tempelman, A.A. (2001)
The New York Journal of Mathematics [electronic only]
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Displaying similar documents to “The Hausdorff dimension and exact Hausdorff measure of random recursive sets with overlapping.”
On Hausdorff dimension of random fractals.
Dimensions of random recursive sets.
Berlinkov, A.G. (2005)
Zapiski Nauchnykh Seminarov POMI
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The Beta(p,1) extensions of the random (uniform) Cantor sets
Dinis D. Pestana, Sandra M. Aleixo, J. Leonel Rocha (2009)
Discussiones Mathematicae Probability and Statistics
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Starting from the random extension of the Cantor middle set in [0,1], by iteratively removing the central uniform spacing from the intervals remaining in the previous step, we define random Beta(p,1)-Cantor sets, and compute their Hausdorff dimension. Next we define a deterministic counterpart, by iteratively removing the expected value of the spacing defined by the appropriate Beta(p,1) order statistics. We investigate the reasons why the Hausdorff dimension of this deterministic fractal...
Self-similar random fractal measures using contraction method in probabilistic metric spaces.
Kolumbán, József, Soós, Anna, Varga, Ibolya (2003)
International Journal of Mathematics and Mathematical Sciences
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A note on correlation coefficient between random events
Czesław Stępniak (2015)
Discussiones Mathematicae Probability and Statistics
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Correlation coefficient is a well known measure of (linear) dependence between random variables. In his textbook published in 1980 L.T. Kubik introduced an analogue of such measure for random events A and B and studied its basic properties. We reveal that this measure reduces to the usual correlation coefficient between the indicator functions of A and B. In consequence the resuts by Kubik are obtained and strenghted directly. This is essential because the textbook is recommended by...
On random fractals with infinite branching: definition, measurability, dimensions
Artemi Berlinkov (2013)
Annales de l'I.H.P. Probabilités et statistiques
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We investigate the definition and measurability questions of random fractals with infinite branching, and find, under certain conditions, a formula for the upper and lower Minkowski dimensions. For the case of a random self-similar set we obtain the packing dimension.
Random dynamics and its applications.
Kifer, Yuri (1998)
Documenta Mathematica
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Multilinear forms in Pareto-like random variables and product random measures
Jan Rosiński, Wojbor A. Woyczyński (1987)
Colloquium Mathematicae
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On the domination of a random walk on a discrete cylinder by random interlacements.
Sznitman, Alain-Sol (2009)
Electronic Journal of Probability [electronic only]
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Uniqueness of the mixing measure for a random walk in a random environment on the positive integers.
Eckhoff, Maren, Rolles, Silke W.W. (2009)
Electronic Communications in Probability [electronic only]
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On an oscillating random walk
J. H. B. Kemperman (1974)
Annales scientifiques de l'Université de Clermont. Mathématiques
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On Bernoulli decomposition of random variables and recent various applications
François Germinet (2007-2008)
Séminaire Équations aux dérivées partielles
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In this review, we first recall a recent Bernoulli decomposition of any given non trivial real random variable. While our main motivation is a proof of universal occurence of Anderson localization in continuum random Schrödinger operators, we review other applications like Sperner theory of antichains, anticoncentration bounds of some functions of random variables, as well as singularity of random matrices.