Results 1 to 10 of about 69,312 (204)
Scale anomalies, states, and rates in conformal field theory
Journal of High Energy Physics, 2017 This paper presents two methods to compute scale anomaly coefficients in conformal field theories (CFTs), such as the c anomaly in four dimensions, in terms of the CFT data.
Marc Gillioz +2 more
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A Measure of Non-convexity in the Plane and the Minkowski Sum [PDF]
Discrete and Computational Geometry, 2010 In this paper a measure of non-convexity for a simple polygonal region in the plane is introduced. It is proved that for "not far from convex" regions this measure does not decrease under the Minkowski sum operation, and guarantees that the Minkowski sum
Roman Karasev
exaly +3 more sources
Mathematics, 2022 The current work aims to develop an approximation of the slice of a Minkowski sum of finite number of ellipsoids, sliced up by an arbitrarily oriented plane in Euclidean space R3 that, to the best of the author’s knowledge, has not been addressed yet ...
Amirreza Fahim Golestaneh
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A heuristic technique for decomposing multisets of non-negative integers according to the Minkowski sum [PDF]
Discrete Mathematics & Theoretical Computer Science, 2022 We study the following problem. Given a multiset $M$ of non-negative integers, decide whether there exist and, in the positive case, compute two non-trivial multisets whose Minkowski sum is equal to $M$.
Luciano Margara
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Journal of Rock Mechanics and Geotechnical Engineering, 2023 A method for packing irregular particles with a prescribed volume fraction is proposed. Furthermore, the generated granular material adheres to the prescribed statistical distribution and satisfies the desired complex spatial arrangement.
Libing Du +3 more
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Minkowski Operations of Sets with Application to Robot Localization [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 This papers shows that using separators, which is a pair of two complementary contractors, we can easily and efficiently solve the localization problem of a robot with sonar measurements in an unstructured environment.
Benoit Desrochers, Luc Jaulin
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Journal of High Energy Physics, 2023 The wavefunction in quantum field theory is an invaluable tool for tackling a variety of problems, including probing the interior of Minkowski spacetime and modelling boundary observables in de Sitter spacetime.
Santiago Agüí Salcedo +3 more
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Safety Verification of Networked Control Systems by Complex Zonotopes [PDF]
Leibniz Transactions on Embedded Systems, 2022 Networked control systems (NCS) are widely used in real world applications because of their advantages, such as remote operability and reduced installation costs.
Adimoolam, Arvind, Dang, Thao
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An integer basis for celestial amplitudes
Journal of High Energy Physics, 2023 We present a discrete basis of solutions of the massless Klein-Gordon equation in 3 + 1 Minkowski space which transform as 𝔰𝔩(2, ℂ) Lorentz/conformal primaries and descendants, and whose elements all have integer conformal dimension.
Jordan Cotler +2 more
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Conformal partial waves in momentum space
SciPost Physics, 2021 The decomposition of 4-point correlation functions into conformal partial waves is a central tool in the study of conformal field theory. We compute these partial waves for scalar operators in Minkowski momentum space, and find a closed-form result ...
Marc Gillioz
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