Results 21 to 30 of about 52,688 (215)
Multiscale Analysis of 1-rectifiable Measures II: Characterizations
Analysis and Geometry in Metric Spaces, 2017 A measure is 1-rectifiable if there is a countable union of finite length curves whose complement has zero measure. We characterize 1-rectifiable Radon measures μ in n-dimensional Euclidean space for all n ≥ 2 in terms of positivity of the lower density ...
Badger Matthew, Schul Raanan
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Structure of equilibrium states on self-affine sets and strict monotonicity of affinity dimension [PDF]
, 2017 A fundamental problem in the dimension theory of self-affine sets is the construction of high-dimensional measures which yield sharp lower bounds for the Hausdorff dimension of the set.
Käenmäki, Antti, Morris, Ian D.
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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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Discrete Dynamics in Nature and Society, 2021 In this study, considering the traditional geometric operation laws and Pythagorean fuzzy information, we propose a variety of new distance measures of Pythagorean fuzzy sets such as generalized Pythagorean fuzzy geometric distance (GPFGD) measures and ...
Lingyan Meng, Xiaoyan Wei
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Spectral measures with arbitrary Hausdorff dimensions
, 2014 In this paper, we consider spectral properties of Riesz product measures supported on homogeneous Cantor sets and we show the existence of spectral measures with arbitrary Hausdorff dimensions, including non-atomic zero-dimensional spectral measures and ...
Dai, Xin-Rong, Sun, Qiyu
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Hausdorff h-measures and p-modules
Journal of Numerical Analysis and Approximation Theory, 1978 Not available.
Petru Caraman
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Carleson Measure and Tent Spaces on the Siegel Upper Half Space
Abstract and Applied Analysis, 2012 The Hausdorff capacity on the Heisenberg group is introduced. The Choquet integrals with respect to the Hausdorff capacity on the Heisenberg group are defined. Then the fractional Carleson measures on the Siegel upper half space are discussed.
Kai Zhao
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Projections of measures with small supports
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2021 In this paper, we use a characterization of the mutual multifractal Hausdorff dimension in terms of auxiliary measures to investigate the projections of measures with small supports.
Bilel Selmi
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IEEE Access, 2023 The notion of a complex hesitant fuzzy set (CHFS) is one of the better tools in order to deal with complex information. Since distance plays a crucial role in order to differentiate between two things or sets, in this paper, we first develop a priority ...
Muhammad Sajjad Ali Khan +4 more
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Non-negative spectral measures and representations of C*-algebras
, 2014 Regular normalized W-valued spectral measures on a compact Hausdorff space X are in one-to-one correspondence with unital *-representations \rho:C(X)\to W, where W stands for a von Neumann algebra.
Zalar, Aljaž
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