Results 1 to 10 of about 16,119 (189)
Conformal amplitude hierarchy and the Poincare disk [PDF]
Journal of Physics: Conference Series, 2018 The amplitude for the singlet channels in the 4-point function of the fundamental field in the conformal field theory of the 2d $O(n)$ model is studied as a function of $n$. For a generic value of $n$, the 4-point function has infinitely many amplitudes,
Shimada, Hirohiko
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Field Theories on the Poincar\'e Disk [PDF]
International Journal of Modern Physics A, 1995 The massive scalar field theory and the chiral Schwinger model are quantized on a Poincar\'e disk of radius $\rho$. The amplitudes are derived in terms of hypergeometric functions.
Ferrari, Franco
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Rootlets Hierarchical Principal Component Analysis for Revealing Nested Dependencies in Hierarchical Data [PDF]
MathematicsHierarchical clustering analysis (HCA) is a widely used unsupervised learning method. Limitations of HCA, however, include imposing an artificial hierarchy onto non-hierarchical data and fixed two-way mergers at every level.
Korey P. Wylie, Jason R. Tregellas
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Multidimensional Scaling in the Poincare disk [PDF]
Applied Mathematics & Information Sciences, 2016 Multidimensional scaling (MDS) is a class of projective algorithms traditionally used in Euclidean space to produce two- or three-dimensional visualizations of datasets of multidimensional points or point distances. More recently however, several authors have pointed out that for certain datasets, hyperbolic target space may provide a better fit than ...
Cvetkovski, Andrej, Crovella, Mark
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A class of nonlinear oscillators with non-autonomous first integrals and algebraic limit cycles
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we present a class of autonomous nonlinear oscillators with non-autonomous first integral. We prove explicitly the existence of a global sink which is, under some conditions, an algebraic limit cycle.
Meryem Belattar +3 more
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Poincaré problem with measurable data for semilinear Poisson equation in the plane
Доповiдi Нацiональної академiї наук України, 2022 We study the Poincaré boundary-value problem with measurable in terms of the logarithmic capacity boundary data for semilinear Poisson equations defined either in the unit disk or in Jordan domains with quasihyperbolic boundary condition.
V.Ya. Gutlyanskiĭ +3 more
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The Siegel–Klein Disk: Hilbert Geometry of the Siegel Disk Domain
Entropy, 2020 We study the Hilbert geometry induced by the Siegel disk domain, an open-bounded convex set of complex square matrices of operator norm strictly less than one.
Frank Nielsen
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Fréchet algebraic deformation quantization of the Poincaré disk [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2012 Abstract. Starting from formal deformation quantization we use an explicit formula for a star product on the Poincaré disk 𝔻 n
Beiser, Svea, Waldmann, Stefan
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Directed suborbital graphs on the Poincare disk [PDF]
Karaelmas Science and Engineering Journal, 2018 In this paper we investigate suborbital graphs of a special congruence subgroup of modular group. And this directed graphs is drawn in Poincare disk.
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Entanglement entropy in cubic gravitational theories
Journal of High Energy Physics, 2021 We derive the holographic entanglement entropy functional for a generic gravitational theory whose action contains terms up to cubic order in the Riemann tensor, and in any dimension.
Elena Cáceres +2 more
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