Results 31 to 40 of about 64,955 (216)
On the Hausdorff Dimension of CAT(κ) Surfaces
Analysis and Geometry in Metric Spaces, 2016 We prove that a closed surface with a CAT(κ) metric has Hausdorff dimension = 2, and that there are uniform upper and lower bounds on the two-dimensional Hausdorff measure of small metric balls.
Constantine David, Lafont Jean-François
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Axioms, 2021 In this speculative analysis, interdimensionality is introduced as the (co)existence of universes embedded into larger ones. These interdimensional universes may be isolated or intertwined, suggesting a variety of interdimensional intrinsic phenomena ...
Karl Svozil
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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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Hausdorff Dimension and Quasiconformal Mappings [PDF]
Journal of the London Mathematical Society, 1973 Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/135677/1/jlms0504 ...
Gehring, F. W., Väisälä, J.
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ON THE MUTUAL MULTIFRACTAL ANALYSIS FOR SOME NON-REGULAR MORAN MEASURES
Проблемы анализа, 2023 In this paper, we study the mutual multifractal Hausdorff dimension and the packing dimension of level sets 𝐾(𝛼, 𝛽) for some non-regular Moran measures satisfying the so-called Strong Separation Condition.We obtain sufficient conditions for the valid ...
B. Selmi, N. Yu. Svetova
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Hausdorff dimension of some groups acting on the binary tree
, 2006 Based on the work of Abercrombie, Barnea and Shalev gave an explicit formula for the Hausdorff dimension of a group acting on a rooted tree. We focus here on the binary tree T.
Aleshin S. V. +2 more
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Anyons and fractional quantum Hall effect in fractal dimensions
Physical Review Research, 2020 The fractional quantum Hall effect is a paradigm of topological order and has been studied thoroughly in two dimensions. Here, we construct a different type of fractional quantum Hall system, which has the special property that it lives in fractal ...
Sourav Manna +3 more
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On sets containing a unit distance in every direction
Discrete Analysis, 2021 On sets containing a unit distance in every direction, Discrete Analysis 2021:5, 13 pp. A _Kakeya set_ in $\mathbb R^d$ is a subset $A\subset\mathbb R^d$ that contains a line in every direction. Besicovitch famously proved that a Kakeya set in $\mathbb
Pablo Shmerkin, Han Yu
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Hausdorff Dimension and mean porosity [PDF]
Mathematische Annalen, 1997 Let \(E \subset R^n\) be a compact set and assume that there exists \(c \in (0, 1/2)\) such that for every \(x \in E\) and all \(r \in (0, d(E)/2),\) the ball \(B^n(x,r)\) contains a ball of radius \(cr\) not meeting \(E \). Then no point of \(E\) can be a point of density and hence \(E \) has \(n\)-dimensional Lebesgue measure equal to \(0\). In fact,
Koskela, Pekka, Rohde, Steffen
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BMPCQA: Bioinspired Metaverse Point Cloud Quality Assessment Based on Large Multimodal Models
Advanced Intelligent Systems, EarlyView.This study presents a bioinspired metaverse point cloud quality assessment metric, which simulates the human visual evaluation process to perform the point cloud quality assessment task. It first extracts rendering projection video features, normal image features, and point cloud patch features, which are then fed into a large multimodal model to ...
Huiyu Duan +7 more
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