Affine Sphere Relativity
Sign Up to like & getrecommendations! Published in 2017 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-016-2802-9
Abstract: We investigate spacetimes whose light cones could be anisotropic. We prove the equivalence of the structures: (a) Lorentz–Finsler manifold for which the mean Cartan torsion vanishes, (b) Lorentz–Finsler manifold for which the indicatrix (observer space)… read more here.
Keywords: sphere relativity; affine; sphere spacetimes; affine sphere ... See more keywords
Growth, lipid content, and fatty acid profile of freshwater cyanobacteria Dolichospermum affine (Lemmermann) Wacklin, Hoffmann, & Komárek by using modified nutrient media
Sign Up to like & getrecommendations! Published in 2020 at "Aquaculture International"
DOI: 10.1007/s10499-020-00531-2
Abstract: In this study, Dolichospermum affine was cultivated under starvation and limitation conditions, using six different concentrations of nitrate (NaNO3) and phosphate (K2HPO4) in BG-11 medium. The biomass, pigments, proteins, carbohydrates, lipids, triacylglycerol-TAG, and fatty acid… read more here.
Keywords: fatty acid; dolichospermum affine; content; affine ... See more keywords
Affine symmetry, geodesics, and homogeneous spacetimes
Sign Up to like & getrecommendations! Published in 2018 at "General Relativity and Gravitation"
DOI: 10.1007/s10714-018-2422-0
Abstract: We show that the conservation laws for the geodesic equation which are associated to affine symmetries can be obtained from symmetries of the Lagrangian for affinely parametrized geodesics according to Noether’s theorem, in contrast to… read more here.
Keywords: homogeneous spacetimes; affine symmetry; affine; symmetry geodesics ... See more keywords
On product affine hyperspheres in ℝn+1
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DOI: 10.1007/s11425-018-9457-9
Abstract: In this paper, we study locally strongly convex affine hyperspheres in the unimodular affine space ℝn+1 which, as Riemannian manifolds, are locally isometric to the Riemannian product of two Riemannian manifolds both possessing constant sectional… read more here.
Keywords: affine hyperspheres; product affine; affine;
Affine Versus Multi-Affine Models for S-Variable LMI Conditions
Sign Up to like & getrecommendations! Published in 2018 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2018.11.179
Abstract: This short paper aims at discussing and comparing LMI results built using the S-variable approach starting from equivalent yet different representations of uncertain systems. Using the fact that S-variable results are well suited to handle… read more here.
Keywords: versus multi; models variable; affine versus; affine ... See more keywords
Hochschild cohomology and deformation quantization of affine toric varieties
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2018.03.016
Abstract: For an affine toric variety $\mathrm{Spec}(A)$, we give a convex geometric description of the Hodge decomposition of its Hochschild cohomology. Under certain assumptions we compute the dimensions of the Hodge summands $T^1_{(i)}(A)$, generalizing the existing… read more here.
Keywords: affine toric; deformation quantization; affine; hochschild cohomology ... See more keywords
Existence of limiting distribution for affine processes
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.123912
Abstract: In this paper, sufficient conditions are given for the existence of limiting distribution of a conservative affine process on the canonical state space $\mathbb{R}_{\geqslant0}^{m}\times\mathbb{R}^{n}$, where $m,\thinspace n\in\mathbb{Z}_{\geqslant0}$ with $m+n>0$. Our main theorem extends and unifies… read more here.
Keywords: existence limiting; affine; mathbb geqslant0; limiting distribution ... See more keywords
A homomorphism from the affine Yangian Yℏ,ε(sl̂(n)) to the affine Yangian Yℏ,ε(sl̂(n+1))
Sign Up to like & getrecommendations! Published in 2025 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0226669
Abstract: We construct a homomorphism from the affine Yangian Yℏ,ε(sl̂(n)) to the standard degreewise completion of the affine Yangian Yℏ,ε(sl̂(n+1)). We also give the relationship between this homomorphism and the one from the affine Yangian Yℏ,ε(sl̂(n))… read more here.
Keywords: affine; algebra; affine yangian; homomorphism affine ... See more keywords
The Equations Defining Affine Grassmannians in Type A and a Conjecture of Kreiman, Lakshmibai, Magyar, and Weyman
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DOI: 10.1093/imrn/rnaa131
Abstract: The affine Grassmannian of $SL_n$ admits an embedding into the Sato Grassmannian, which further admits a Plücker embedding into the projectivization of Fermion Fock space. Kreiman, Lakshmibai, Magyar, and Weyman describe the linear part of… read more here.
Keywords: kreiman lakshmibai; conjecture; magyar weyman; affine ... See more keywords
Entropy production in affine inflation
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DOI: 10.1103/physrevd.101.064073
Abstract: Multiple scalar fields nonminimally interacting through pure affine gravity are considered to generate primordial perturbations during an inflationary phase. The couplings considered give rise to two distinct sources of entropy perturbations that may not be… read more here.
Keywords: affine inflation; entropy production; affine; gravity ... See more keywords
Open-Loop Control Design for Contraction in Affine Nonlinear Systems
Sign Up to like & getrecommendations! Published in 2025 at "IEEE Control Systems Letters"
DOI: 10.1109/lcsys.2025.3577207
Abstract: This paper presents two main contributions. First, it is shown that if a nonlinear time-varying system is contractive, then it is incrementally exponentially stable. Second, building on this result, a method is proposed, for designing… read more here.
Keywords: contraction; control design; control; affine ... See more keywords