Results 81 to 90 of about 2,931,499 (197)
ON HAUSDORFF MEASURES AND SBR MEASURES FOR PARABOLIC RATIONAL MAPS
, 1999 If J is the Julia set of a parabolic rational map having Hausdorff dimension h<1, we show that Sullivan's h-conformal measure on J is either absolutely continuous or orthogonal with respect to the Hausdorff measures defined by the function [Formula ...
S. ROHDE, M. DENKER
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A Riesz representation theorem for cone-valued functions
Abstract and Applied Analysis, 1999 We consider Borel measures on a locally compact Hausdorff space whose values are linear functionals on a locally convex cone. We define integrals for cone-valued functions and verify that continuous linear functionals on certain spaces of continuous cone-
Walter Roth
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Advances in 4D Representation: Geometry, Motion, and Interaction
Computer Graphics Forum, EarlyView.We survey 4D representation through three key pillars — geometry, motion, and interaction — offering a selective, representation‐centric perspective to guide researchers in choosing and customizing the right 4D representation for their tasks. Abstract We present a survey on 4D generation and reconstruction, a fast‐evolving subfield of computer graphics
M. Zhao +7 more
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Efficient and Accurate Hausdorff Distance Computation Based on Diffusion Search
IEEE Access, 2018 The Hausdorff distance (HD) between two point sets is widely used in similarity measures, but the high computational cost of HD algorithms restrict their practical use.
Dejun Zhang +3 more
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International Endodontic Journal, EarlyView.ABSTRACT Background Accurate assessment of caries depth on intraoral radiographs is crucial for determining the extent of the lesion and planning appropriate treatment. Artificial intelligence (AI) models have been increasingly used for detecting and classifying carious lesions; however, the evidence focusing specifically on the classification of ...
Laith Abu Qdais +5 more
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Journal of Microscopy, EarlyView.Abstract In the domain of battery research, the processing of high‐resolution microscopy images is a challenging task, as it involves dealing with complex images and requires a prior understanding of the components involved. The utilisation of deep learning methodologies for image analysis has attracted considerable interest in recent years, with ...
Ganesh Raghavendran +7 more
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IEEE AccessIn this paper, we introduce a novel approach for computing the Hausdorff distance on T-spherical fuzzy sets (TSFSs) and subsequently formulate some powerful similarity measures (SMs) for these sets.
Miin-Shen Yang, Mehboob Ali
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Risk Measure Duality Without Structure
Mathematical Finance, EarlyView.ABSTRACT We study risk measures on vector spaces of random variables which a priori have little structure, such as spaces lacking law invariance or a lattice structure. Ensuring the existence of a tractable dual representation (one which does not contain non‐sigma‐additive measures) is one of the main problems in risk measure theory, and we address it ...
Vasily Melnikov
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On the Computation of the Hausdorff Dimension of the Walrasian Economy: Addendum [PDF]
In a recent paper, Dominique (2009) argues that for a Walrasian economy with m consumers and n goods, the equilibrium set of prices becomes a fractal attractor due to continuous destructions and creations of excess demands. The paper also posits that the
Dominique, C-Rene
core
Bowen Lemma in the Countable Symbolic Space
Entropy, 2017 We consider the sets of quasi-regular points in the countable symbolic space. We measure the sizes of the sets by Billingsley-Hausdorff dimension defined by Gibbs measures.
Mingtian Li, Jihua Ma
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