Results 31 to 40 of about 3,791,283 (277)
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
doaj +1 more source
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
core +3 more sources
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
doaj +1 more source
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
doaj +1 more source
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
core +2 more sources
Hausdorff dimension and uniform exponents in dimension two [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2016 In this paper we prove that the Hausdorff dimension of the set of (nondegenerate) singular two-dimensional vectors with uniform exponent μ in (1/2, 1) is equal to 2(1 − μ) for μ ⩾ $\sqrt2/2$, whereas for μ < $\sqrt2/2$ it is greater than 2(1 − μ) and at ...
Y. Bugeaud, Y. Cheung, N. Chevallier
semanticscholar +1 more source
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
core +3 more sources
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
doaj +1 more source
Topological Hausdorff dimension and Poincaré inequality
Extracta Mathematicae, 2022 A relationship between Poincaré inequalities and the topological Hausdorff dimension is exposed—a lower bound on the dimension of Ahlfors regular spaces satisfying a weak (1, p)-Poincaré inequality is given.
C.A. DiMarco
doaj
Hausdorff dimension of limit sets [PDF]
, 2016 We exhibit a class of Schottky subgroups of $$\mathbf {PU}(1,n)$$PU(1,n) ($$n \ge 2$$n≥2) which we call well-positioned and show that the Hausdorff dimension of the limit set $$\Lambda _\Gamma $$ΛΓ associated with such a subgroup $$\Gamma $$Γ, with ...
Laurent Dufloux
semanticscholar +1 more source