Results 1 to 10 of about 478 (116)
Complex Singularities and the Lorenz Attractor [PDF]
SIAM Review, 2010 The Lorenz attractor is one of the best known examples of applied mathematics. However, much of what is known about it is a result of numerical calculations and not of mathematical analysis. As a step toward mathematical analysis, we allow the time variable in the three dimensional Lorenz system to be complex, hoping that solutions that have resisted ...
Sönmez Şahutoğlu
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Complex Manifolds, 2017 The goal of this article is to provide a construction and classification, in the case of two complex dimensions, of the possible tangent cones at points of limit spaces of non-collapsed sequences of Kähler-Einstein metrics with cone singularities.
Borbon Martin de
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Rigorous reconstruction of gluon propagator in the presence of complex singularities
SciPost Physics Proceedings, 2022 It has been suggested that the Landau-gauge gluon propagator has complex singularities, which invalidates the K\"all\'en-Lehmann spectral representation.
Yui Hayashi, Kei-Ichi Kondo
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ON COMPLEX HOMOGENEOUS SINGULARITIES [PDF]
Bulletin of the Australian Mathematical Society, 2019 We study the singularity at the origin of $\mathbb{C}^{n+1}$ of an arbitrary homogeneous polynomial in $n+1$ variables with complex coefficients, by investigating the monodromy characteristic polynomials $\unicode[STIX]{x1D6E5}_{l}(t)$ as well as the relation between the monodromy zeta function and the Hodge spectrum of the singularity.
QUY THUONG LÊ +2 more
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Complexity=anything: singularity probes
Journal of High Energy Physics, 2023 Abstract We investigate how the complexity=anything observables proposed by [1, 2] can be used to investigate the interior geometry of AdS black holes. In particular, we illustrate how the flexibility of the complexity=anything approach allows us to systematically probe the geometric properties of black hole singularities.
Eivind Jørstad +2 more
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Singular Value Decomposition of Complexes [PDF]
SIAM Journal on Applied Algebra and Geometry, 2019 Singular value decompositions of matrices are widely used in numerical linear algebra with many applications. In this paper, we extend the notion of singular value decompositions to finite complexes of real vector spaces. We provide two methods to compute them and present several applications.
Danielle A. Brake +4 more
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Physical Review X, 2022 Ventricular fibrillation (VF) is a life-threatening electromechanical dysfunction of the heart associated with complex spatiotemporal dynamics of electrical excitation and mechanical contraction of the heart muscle.
A. Molavi Tabrizi +5 more
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The complex structured singular value [PDF]
Automatica, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Packard, A., Doyle, J.
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Nanomaterials, 2022 We present the results of a study of the Poynting vector field generic singularities at the resonant light scattering of a plane monochromatic linearly polarized electromagnetic wave by a subwavelength particle.
Michael I. Tribelsky +1 more
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