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Found 708 Documents (Results 1–100)

Typical dimension and absolute continuity for classes of dynamically defined measures, Part II : exposition and extensions. arXiv:2405.06466

Preprint, arXiv:2405.06466 [math.DS] (2024).
MSC:  37E05 28A80 60G30
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Singularity of energy measures on a class of inhomogeneous Sierpinski gaskets. (English) Zbl 1500.28007

Chen, Zhen-Qing (ed.) et al., Dirichlet forms and related topics, in honor of Masatoshi Fukushima’s beiju, IWDFRT 2022, Osaka, Japan, August 22–26,2022. Singapore: Springer. Springer Proc. Math. Stat. 394, 175-200 (2022).
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Optimal estimates in problems of extrapolation, filtration, and interpolation of functionals of random processes with values in a Hilbert space. (English. Russian original) Zbl 1403.60034

Cybern. Syst. Anal. 54, No. 5, 754-764 (2018); translation from Kibern. Sist. Anal. 2018, No. 5, 79-92 (2018).
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On the \(G\)-isomorphism of probability and dimensional theories of representations of real numbers and fractal faithfulness of systems of coverings. (English. Ukrainian original) Zbl 1414.11096

Theory Probab. Math. Stat. 94, 17-36 (2017); translation from Teor. Jmovirn. Mat. Stat. 94, 16-35 (2016).
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Singularity and fine fractal properties of one class of infinite Bernoulli convolutions with essential overlapping. II. (English. Ukrainian original) Zbl 1390.60148

Ukr. Math. J. 67, No. 12, 1884-1899 (2016); translation from Ukr. Mat. Zh. 67, No. 12, 1667-1678 (2015).
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A probabilistic approach to studies of DP-transformations and faithfullness of covering systems to evaluate the Hausdorff-Besicovitch dimension. (English. Ukrainian original) Zbl 1346.60074

Theory Probab. Math. Stat. 92, 23-36 (2016); translation from Teor. Jmovirn. Mat. Stat. 92, 29-40 (2015).
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The distributions of random incomplete sums of a series with positive terms satisfying the property of non-linear homogeneity. (English. Ukrainian original) Zbl 1346.60053

Theory Probab. Math. Stat. 91, 145-155 (2015); translation from Teor. Jmovirn. Mat. Stat. 91, 133-142 (2014).
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Ostrogradsky-Sierpiński-Pierce expansion: dynamical systems, probability theory and fractal geometry points of view. arXiv:1506.04355

Preprint, arXiv:1506.04355 [math.PR] (2015).
MSC:  11K55 28A80 37A45 37B10 60G30
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Singularity and fine fractal properties of a certain class of infinite Bernoulli convolutions with an essential intersection. (English. Ukrainian original) Zbl 1329.60107

Theory Probab. Math. Stat. 87, 99-115 (2013); translation from Teor. Jmovirn. Mat. Stat. 87, 89-104 (2012).
MSC:  60G30 28A80 28A78
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Fractal properties of random variables with independent \(Q_\infty\)-symbols. (English. Ukrainian original) Zbl 1300.60055

Theory Probab. Math. Stat. 86, 169-182 (2013); translation from Teor. Jmovirn. Mat. Stat. 86, 150-162 (2012).
MSC:  60G30 11K55 28A80
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