Results 111 to 120 of about 124,917 (284)
On Algebraic Lie Algebras [PDF]
Chevalley, Claude, Tuan, Hsio-Fu
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Bayesian inverse ensemble forecasting for COVID‐19
Abstract Variations in strains of COVID‐19 have a significant impact on the rate of surges and on the accuracy of forecasts of the epidemic dynamics. The primary goal for this article is to quantify the effects of varying strains of COVID‐19 on ensemble forecasts of individual “surges.” By modelling the disease dynamics with an SIR model, we solve the ...
Kimberly Kroetch, Don Estep
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Representations of ω-Lie algebras and tailed derivations of Lie algebras
We study the representation theory of finite-dimensional [Formula: see text]-Lie algebras over the complex field. We derive an [Formula: see text]-Lie version of the classical Lie’s theorem, i.e., any finite-dimensional irreducible module of a soluble [Formula: see text]-Lie algebra is 1-dimensional (1D).
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A goodness‐of‐fit test for regression models with discrete outcomes
Abstract Regression models are often used to analyze discrete outcomes, but classical goodness‐of‐fit tests such as those based on the deviance or Pearson's statistic can be misleading or have little power in this context. To address this issue, we propose a new test, inspired by the work of Czado et al.
Lu Yang +2 more
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Structure theory of Clifford-Weyl algebras and representations of ortho-symplectic Lie superalgebras [PDF]
In this article, the structure of the Clifford-Weyl superalgebras and their associated Lie superalgebras will be investigated. These superalgebras have a natural supersymmetric inner product which is invariant under their Lie superalgebra structures. The
Nasser Boroojerdian
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A partial envelope approach for modelling multivariate spatial‐temporal data
Abstract In the new era of big data, modelling multivariate spatial‐temporal data is a challenging task due to both the high dimensionality of the features and complex associations among the responses across different locations and time points.
Reisa Widjaja +3 more
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Let \(L\) be a finite dimensional Lie algebra over a field. The Frattini subalgebra, \(F(L)\), of \(L\) is the intersection of the maximal subalgebras of \(L\); the Frattini ideal, \(\varphi(L)\), of \(L\) is then the largest ideal of \(L\) contained in \(F(L)\).
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
wiley +1 more source
On nondegenerate orbits of 7-dimensional Lie algebras containing a 3-dimensional Abelian ideal
This paper is related to the problem of describing homogeneous real hypersurfaces of multidimensional complex spaces as orbits of the action of Lie groups and algebras in these spaces.
A. V. Atanov, A. V. Loboda
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