Results 11 to 20 of about 2,265 (192)
A note on Hausdorff convergence of pseudospectra
Opuscula Mathematica, 2023 For a bounded linear operator on a Banach space, we study approximation of the spectrum and pseudospectra in the Hausdorff distance. We give sufficient and necessary conditions in terms of pointwise convergence of appropriate spectral quantities.
Lindner, Marko, Schmeckpeper, Dennis
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The Strong Laws of Large Numbers for Set-Valued Random Variables in Fuzzy Metric Space
Mathematics, 2021 In this paper, we firstly introduce the definition of the fuzzy metric of sets, and discuss the properties of fuzzy metric induced by the Hausdorff metric.
Li Guan, Juan Wei, Hui Min, Junfei Zhang
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Hausdorff convergence and universal covers [PDF]
Transactions of the American Mathematical Society, 2001 17 ...
Sormani, Christina, Wei, Guofang
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Subobjects and Compactness in Point-Free Convergence
Journal of Mathematics, 2023 We consider subobjects in the context of point-free convergence (in the sense of Goubault-Larrecq and Mynard), characterizing extremal monomorphisms in the opposite category of that of convergence lattices.
Emilio Angulo, Frédéric Mynard
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GAN‐LSTM‐3D: An efficient method for lung tumour 3D reconstruction enhanced by attention‐based LSTM
CAAI Transactions on Intelligence Technology, EarlyView., 2023 Abstract Three‐dimensional (3D) image reconstruction of tumours can visualise their structures with precision and high resolution. In this article, GAN‐LSTM‐3D method is proposed for 3D reconstruction of lung cancer tumours from 2D CT images. Our method consists of three phases: lung segmentation, tumour segmentation, and tumour 3D reconstruction. Lung
Lu Hong +12 more
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Hausdorff Convergence and the Limit Shape of the Unicorns [PDF]
Experimental Mathematics, 1997 We discuss the Hausdorff convergence of hyperbolic components in parameter space as a one-parameter family of transcendental functions is dynamically approximated by polynomials. This convergence is strongly suggested by computer experiments and is proved in a weaker form, which is illustrated with exponential, sine and cosine families. Furthermore, we
Bernd Krauskopf, Hartje Kriete
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Essential circles and Gromov–Hausdorff convergence of covers [PDF]
Journal of Topology and Analysis, 2016 The [Formula: see text]-covers of Sormani–Wei ([20]) are known not to be “closed” with respect to Gromov–Hausdorff convergence. In this paper we use the essential circles introduced in [19] to define a larger class of covering maps of compact geodesic spaces called “circle covers” that are “closed” with respect to Gromov–Hausdorff convergence and ...
Plaut, Conrad, Wilkins, Jay
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Compactness in Groups of Group-Valued Mappings
Mathematics, 2022 We introduce the concepts of extended equimeasurability and extended uniform quasiboundedness in groups of group-valued mappings endowed with a topology that generalizes the topology of convergence in measure.
Diana Caponetti +2 more
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Gromov--Hausdorff Convergence of Discrete Transportation Metrics [PDF]
SIAM Journal on Mathematical Analysis, 2013 22 pages, to appear in SIAM J.
Gigli, Nicola, Mass, J.
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A class of sets where convergence in Hausdorff sense and in measure coincide
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2020 We introduce a class of uniformly bounded closed sets such that, inside the class, convergence in Hausdorff sense and in measure do agree. We also show that the class is rich enough for applications to potential theory.
Roberto Lucchetti, Fernando Sansò
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