Results 1 to 10 of about 120,588 (269)
The Poincaré Index on Singular Varieties
J, 2022 In this paper, we discuss a few simple methods for computing the local topological index and its various analogs for vector fields and differential forms given on complex varieties with singularities of different types.
Alexander G. Aleksandrov
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The Poincaré Index and Its Applications
Universe, 2022 We discuss an approach to the problem of calculating the local topological index of vector fields given on complex spaces or varieties with singularities developed by the author over the past few years. Our method is based on the study of the homology of
Alexander G. Aleksandrov
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Mapping local singularities using magnetic data to investigate the volcanic rocks of the Qikou depression, Dagang oilfield, eastern China [PDF]
Nonlinear Processes in Geophysics, 2013 The spatial structural characteristics of geological anomaly, including singularity and self-similarity, can be analysed using fractal or multifractal modelling. Here we apply the multifractal methods to potential fields to demonstrate that singularities
G. Chen, Q. Cheng, T. Liu, Y. Yang
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Proliferation of non-linear excitations in the piecewise-linear perceptron
SciPost Physics, 2021 We investigate the properties of local minima of the energy landscape of a continuous non-convex optimization problem, the spherical perceptron with piecewise linear cost function and show that they are critical, marginally stable and displaying a set of
Antonio Sclocchi, Pierfrancesco Urbani
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Celestial insights into the S-matrix bootstrap
Journal of High Energy Physics, 2022 We consider 2-2 scattering in four spacetime dimensions in Celestial variables. Using the crossing symmetric dispersion relation (CSDR), we recast the Celestial amplitudes in terms of crossing symmetric partial waves.
Sudip Ghosh +2 more
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Enhancement of Optical Spin-Orbit Coupling in Anisotropic ENZ Metamaterials
IEEE Photonics Journal, 2023 Vector vortex beams which possess complex intensity and polarisation patterns, and phase or polarisation singularities are important in a variety of applications ranging from high resolution imaging and data transmission to nonlinear optics and quantum ...
Vittorio Aita, Anatoly V. Zayats
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Company welfare in modern Argentine railways: characteristics and challenges (1890-1920)
Revista Mundos do Trabalho, 2021 This article explores company welfare programs in the railways in modern Argentina from the 1890s to the 1920s. It concentrates on the singularities of these companies' strategies, considering that the local society was shaped by a process of mass ...
Silvana A. Palermo
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Restauro Archeologico, 2021 The civil towers in Pavia are a distinctive element of the city’s architectural heritage, dating back to the Medieval Age as a statement of the lordship’s power and wealth.
Sandro Parrinello +2 more
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The Local Learning Coefficient: A Singularity-Aware Complexity Measure
, 2023 The Local Learning Coefficient (LLC) is introduced as a novel complexity measure for deep neural networks (DNNs). Recognizing the limitations of traditional complexity measures, the LLC leverages Singular Learning Theory (SLT), which has long recognized the significance of singularities in the loss landscape geometry.
Lau, Edmund +4 more
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Multi-Fractality, Universality and Singularity in Turbulence
Fractal and Fractional, 2022 In most geophysical flows, vortices (or eddies) of all sizes are observed. In 1941, Kolmogorov devised a theory to describe the hierarchical organization of such vortices via a homogeneous self-similar process.
Bérengère Dubrulle
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