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
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
Fixed-Order Piecewise-Affine Output Feedback Controller for Fuzzy-Affine-Model-Based Nonlinear Systems With Time-Varying Delay
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Transactions on Circuits and Systems I: Regular Papers"
DOI: 10.1109/tcsi.2016.2632718
Abstract: This paper studies the problem of delay-dependent fixed-order memory piecewise-affine $\mathscr {H}_{\infty }$ output feedback control for a class of nonlinear systems with time-varying delay via a descriptor system approach. The nonlinear plant is expressed… read more here.
Keywords: output feedback; fixed order; delay; affine ... See more keywords
Nonsynchronized State Estimation for Fuzzy Markov Jump Affine Systems With Switching Region Partitions.
Sign Up to like & getrecommendations! Published in 2020 at "IEEE transactions on cybernetics"
DOI: 10.1109/tcyb.2020.3002938
Abstract: This article investigates the state estimation issue of discrete-time Takagi-Sugeno fuzzy Markov jump affine systems that cover both traditional fuzzy Markov jump systems and fuzzy affine systems as two special cases. The original system is… read more here.
Keywords: state; estimation; affine; markov jump ... See more keywords