Results 31 to 40 of about 65,125 (273)
Analysis and Geometry in Metric Spaces, 2020 This paper studies the Hausdorff dimension of the intersection of isotropic projections of subsets of ℝ2n, as well as dimension of intersections of sets with isotropic planes. It is shown that if A and B are Borel subsets of ℝ2n of dimension greater than
Román-García Fernando
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Some typical properties of dimensions of sets and measures
Abstract and Applied Analysis, 2005 This paper contains a review of recent results concerning typical properties of dimensions of sets and dimensions of measures. In particular, we are interested in the Hausdorff dimension, box dimension, and packing dimension of sets and in the Hausdorff ...
Józef Myjak
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Random trees constructed by aggregation [PDF]
, 2016 We study a general procedure that builds random $\mathbb R$-trees by gluing recursively a new branch on a uniform point of the pre-existing tree.
Curien, Nicolas, Haas, Bénédicte
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A Note on Topological Properties of Non-Hausdorff Manifolds
International Journal of Mathematics and Mathematical Sciences, 2009 The notion of compatible apparition points is introduced for non-Hausdorff manifolds, and properties of these points are studied. It is well known that the Hausdorff property is independent of the other conditions given in the standard definition of a ...
Steven L. Kent +2 more
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Hausdorff and packing dimension of fibers and graphs of prevalent continuous maps [PDF]
, 2015 The notions of shyness and prevalence generalize the property of being zero and full Haar measure to arbitrary (not necessarily locally compact) Polish groups.
Balka, Richárd +2 more
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Li-Yorke chaotic property of cookie-cutter systems
AIMS Mathematics, 2022 In this paper, we investigate mean Li-Yorke chaos along some sequence and Li-Yorke chaos for cookie-cutter systems. By applying bounded distortion and a locally α-Ho¨lder condition, we show that the cookie-cutter set contains a mean Li-Yorke scrambled ...
Alqahtani Bushra Abdulshakoor M +1 more
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Irrationality exponent, Hausdorff dimension and effectivization [PDF]
, 2017 We generalize the classical theorem by Jarnik and Besicovitch on the irrationality exponents of real numbers and Hausdorff dimension and show that the two notions are independent. For any real number a greater than or equal to 2 and any non-negative real
Becher, Veronica Andrea +2 more
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On the Hausdorff Dimension of Newhouse Phenomena [PDF]
Annales Henri Poincaré, 2015 We show that at the vicinity of a generic dissipative homoclinic unfolding of a surface diffeomorphism, the Hausdorff dimension of the set of parameters for which the diffeomorphism admits infinitely many periodic sinks is at least 1/2.
Jacopo De Simoi, Pierre Berger
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On the Hausdorff Dimension of Some Graphs [PDF]
Transactions of the American Mathematical Society, 1986 Consider the functions \[ W b ( x ) = ∑ n = − ∞ ∞ b − α n
R. Daniel Mauldin, S. C. Williams
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On the Fractal Measures and Dimensions of Image Measures on a Class of Moran Sets
Mathematics, 2023 In this work, we focus on the centered Hausdorff measure, the packing measure, and the Hewitt–Stromberg measure that determines the modified lower box dimension Moran fractal sets. The equivalence of these measures for a class of Moran is shown by having
Najmeddine Attia, Bilel Selmi
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