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Journal articles on the topic 'Invariant cone'

Author: Grafiati

Published: 11 March 2023

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1

Kasigwa, Michael, and Michael Tsatsomeros. "Eventual Cone Invariance." Electronic Journal of Linear Algebra 32 (February 6, 2017): 204–16. http://dx.doi.org/10.13001/1081-3810.3484.

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Eventually nonnegative matrices are square matrices whose powers become and remain (entrywise) nonnegative. Using classical Perron-Frobenius theory for cone preserving maps, this notion is generalized to matrices whose powers eventually leave a proper cone K â R^n invariant, that is, A^mK â K for all sufficiently large m. Also studied are the related notions of eventual cone invariance by the matrix exponential, as well as other generalizations of M-matrix and dynamical system notions.

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2

Parrilo, P. A., and S. Khatri. "On cone-invariant linear matrix inequalities." IEEE Transactions on Automatic Control 45, no. 8 (2000): 1558–63. http://dx.doi.org/10.1109/9.871772.

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3

Abbas, Mujahid, and Pasquale Vetro. "Invariant approximation results in‎ ‎cone metric spaces." Annals of Functional Analysis 2, no. 2 (2011): 101–13. http://dx.doi.org/10.15352/afa/1399900199.

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4

Westland, Stephen, and Caterina Ripamonti. "Invariant cone-excitation ratios may predict transparency." Journal of the Optical Society of America A 17, no. 2 (2000): 255. http://dx.doi.org/10.1364/josaa.17.000255.

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5

Chodos, Alan. "Tachyons as a Consequence of Light-Cone Reflection Symmetry." Symmetry 14, no. 9 (2022): 1947. http://dx.doi.org/10.3390/sym14091947.

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We introduce a new symmetry, light-cone reflection (LCR), which interchanges timelike and spacelike intervals. Our motivation is to provide a reason, based on symmetry, why tachyons might exist, with emphasis on application to neutrinos. We show that LCR, combined with translations, leads to a much larger symmetry. We construct an LCR-invariant Lagrangian and discuss some of its properties. In a simple example, we find complete symmetry in the spectrum between tachyons and ordinary particles. We also show that the theory allows for the introduction of a further gauge invariance related to chir

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6

Malesza, Wiktor, and Witold Respondek. "Linear cone-invariant control systems and their equivalence." International Journal of Control 91, no. 8 (2017): 1818–34. http://dx.doi.org/10.1080/00207179.2017.1333153.

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7

Hisabia, Aritra Narayan, and Manideepa Saha. "On Properties of Semipositive Cones and Simplicial Cones." Electronic Journal of Linear Algebra 36, no. 36 (2020): 764–72. http://dx.doi.org/10.13001/ela.2020.5553.

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For a given nonsingular $n\times n$ matrix $A$, the cone $S_{A}=\{x:Ax\geq 0\}$ , and its subcone $K_A$ lying on the positive orthant, called as semipositive cone, are considered. If the interior of the semipositive cone $K_A$ is not empty, then $A$ is named as semipositive matrix. It is known that $K_A$ is a proper polyhedral cone. In this paper, it is proved that $S_{A}$ is a simplicial cone and properties of its extremals are analyzed. An one-one relation between simplicial cones and invertible matrices is established. For a proper cone $K$ in $\mathbb{R}^n$, $\pi(K)$ denotes the collection

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8

BRISUDOVA, MARTINA. "SMALL x DIVERGENCES IN THE SIMILARITY RG APPROACH TO LF QCD." Modern Physics Letters A 17, no. 02 (2002): 59–81. http://dx.doi.org/10.1142/s0217732302006308.

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We study small x divergences in boost invariant similarity renormalization group approach to light-front QCD in a heavy quark–antiquark state. With the boost invariance maintained, the infrared divergences do not cancel out in the physical states, contrary to previous studies where boost invariance was violated by a choice of a renormalization scale. This may be an indication that the zero mode, or nontrivial light-cone vacuum structure, might be important for recovering full Lorentz invariance.

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9

Kosheleva, Olga, and Vladik Kreinovich. "ON GEOMETRY OF FINSLER CAUSALITY: FOR CONVEX CONES, THERE IS NO AFFINE-INVARIANT LINEAR ORDER (SIMILAR TO COMPARING VOLUMES)." Mathematical Structures and Modeling, no. 1 (May 30, 2020): 49–55. http://dx.doi.org/10.24147/2222-8772.2020.1.49-55.

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Some physicists suggest that to more adequately describe the causal structure of space-time, it is necessary to go beyond the usual pseudoRiemannian causality, to a more general Finsler causality. In this general case, the set of all the events which can be influenced by a given event is, locally, a generic convex cone, and not necessarily a pseudo-Reimannian-style quadratic cone. Since all current observations support pseudo-Riemannian causality, Finsler causality cones should be close to quadratic ones. It is therefore desirable to approximate a general convex cone by a quadratic one.

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10

HATZINIKITAS, AGAPITOS, and IOANNIS SMYRNAKIS. "CLOSED BOSONIC STRING PARTITION FUNCTION IN TIME INDEPENDENT EXACT pp-WAVE BACKGROUND." International Journal of Modern Physics A 21, no. 05 (2006): 995–1013. http://dx.doi.org/10.1142/s0217751x06025493.

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The modular invariance of the one-loop partition function of the closed bosonic string in four dimensions in the presence of certain homogeneous exact pp -wave backgrounds is studied. In the absence of an axion field, the partition function is found to be modular invariant and equal to the free field partition function. The partition function remains unchanged also in the presence of a fixed axion field. However, in this case, the covariant form of the action suggests summation over all possible twists generated by the axion field. This is shown to modify the partition function. In the light-c

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11

Alexeev, Valery, Angela Gibney, and David Swinarski. "Higher-Level Conformal Blocks Divisors on." Proceedings of the Edinburgh Mathematical Society 57, no. 1 (2014): 7–30. http://dx.doi.org/10.1017/s0013091513000941.

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AbstractWe study a family of semi-ample divisors on the moduli space of n-pointed genus 0 curves given by higher-level conformal blocks. We derive formulae for their intersections with a basis of 1-cycles, show that they form a basis for the Sn-invariant Picard group, and generate a full-dimensional subcone of the Sn-invariant nef cone. We find their position in the nef cone and study their associated morphisms.

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12

Legendre, Eveline. "Localizing the Donaldson–Futaki invariant." International Journal of Mathematics 32, no. 08 (2021): 2150055. http://dx.doi.org/10.1142/s0129167x21500555.

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We use the equivariant localization formula to prove that the Donaldson–Futaki invariant of a compact smooth (Kähler) test configuration coincides with the Futaki invariant of the induced action on the central fiber when this fiber is smooth or have orbifold singularities. We also localize the Donaldson–Futaki invariant of the deformation to the normal cone.

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13

Protasov, V. Yu. "When do several linear operators share an invariant cone?" Linear Algebra and its Applications 433, no. 4 (2010): 781–89. http://dx.doi.org/10.1016/j.laa.2010.04.006.

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14

CRUZ, ANDERSON, GIOVANE FERREIRA, and PAULO VARANDAS. "Volume lemmas and large deviations for partially hyperbolic endomorphisms." Ergodic Theory and Dynamical Systems 41, no. 1 (2019): 213–40. http://dx.doi.org/10.1017/etds.2019.63.

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We consider partially hyperbolic attractors for non-singular endomorphisms admitting an invariant stable bundle and a positively invariant cone field with non-uniform cone expansion at a positive Lebesgue measure set of points. We prove volume lemmas for both Lebesgue measure on the topological basin of the attractor and the SRB measure supported on the attractor. As a consequence, under a mild assumption we prove exponential large-deviation bounds for the convergence of Birkhoff averages associated to continuous observables with respect to the SRB measure.

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15

Nascimento, S. M. C., and D. H. Foster. "Misinterpreting Changes of Illuminant on Complex Mondrian Patterns." Perception 25, no. 1_suppl (1996): 111. http://dx.doi.org/10.1068/v96l0410.

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Ratios of cone excitations from different surfaces of the same coloured scene are almost invariant under illuminance changes, and might provide the cue by which the visual system discriminates illuminant from non-illuminant changes in coloured scenes. Previous work with pairs of surfaces showed that observers were able to detect small, naturally occurring, violations in these ratios (Nascimento and Foster, 1995 Perception24 Supplement, 60 – 61). In the present study, sensitivity to violations was assessed with more complex, Mondrian patterns. In a two-interval forced-choice experiment, two col

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16

LOPUSHANSKY, OLEH, and SERGII SHARYN. "Operators commuting with multi-parameter shift semigroups." Carpathian Journal of Mathematics 30, no. 2 (2014): 217–24. http://dx.doi.org/10.37193/cjm.2014.02.07.

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Using operators of cross-correlation with ultradistributions supported by a positive cone, we describe a commutative algebra of shift-invariant continuous linear operators, commuting with contraction multi-parameter semigroups over a Banach space. Thereby, we generalize classic Schwartz’s and Hormander’s theorems on shift-invariant operators.

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17

Wünsche, Alfred. "Optic Axes and Elliptic Cone Equation in Coordinate-Invariant Treatment." Journal of Modern Physics 13, no. 06 (2022): 1001–43. http://dx.doi.org/10.4236/jmp.2022.136057.

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18

Tam, Bit-Shun, and Hans Schneider. "On the invariant faces associated with a cone-preserving map." Transactions of the American Mathematical Society 353, no. 1 (2000): 209–45. http://dx.doi.org/10.1090/s0002-9947-00-02597-6.

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19

Jungers, Raphaël M. "On asymptotic properties of matrix semigroups with an invariant cone." Linear Algebra and its Applications 437, no. 5 (2012): 1205–14. http://dx.doi.org/10.1016/j.laa.2012.04.006.

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20

De Leenheer, Patrick. "Stability of diffusively coupled linear systems with an invariant cone." Linear Algebra and its Applications 580 (November 2019): 396–416. http://dx.doi.org/10.1016/j.laa.2019.06.024.

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21

Kook, W. "Edge-rooted forests and the α-invariant of cone graphs". Discrete Applied Mathematics 155, № 8 (2007): 1071–75. http://dx.doi.org/10.1016/j.dam.2006.11.002.

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22

Dante DeBlassie, R. "The cone of positive harmonic functions for scale-invariant diffusions." Stochastics and Stochastic Reports 75, no. 4 (2003): 181–203. http://dx.doi.org/10.1080/1045112031000120649.

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23

Wilson, P. M. H. "Elliptic ruled surfaces on Calabi–Yau threefolds." Mathematical Proceedings of the Cambridge Philosophical Society 112, no. 1 (1992): 45–52. http://dx.doi.org/10.1017/s0305004100070742.

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In [5], we studied the behaviour of the Kähler cone of Calabi–Yau threefolds under deformations. We saw that the Kähler cone is locally constant in a smooth family of Calabi–Yau threefolds, unless some of the threefolds Xb contain elliptic ruled surfaces. Moreover, if X is a Calabi–Yau threefold containing an elliptic ruled surface, then the Kähler cone is not invariant under a generic small deformation.

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24

CRUZ, ANDERSON, and PAULO VARANDAS. "SRB measures for partially hyperbolic attractors of local diffeomorphisms." Ergodic Theory and Dynamical Systems 40, no. 6 (2018): 1545–93. http://dx.doi.org/10.1017/etds.2018.115.

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We contribute to the thermodynamic formalism of partially hyperbolic attractors for local diffeomorphisms admitting an invariant stable bundle and a positively invariant cone field with non-uniform cone expansion at a positive Lebesgue measure set of points. These include the case of attractors for Axiom A endomorphisms and partially hyperbolic endomorphisms derived from Anosov. We prove these attractors have finitely many SRB measures, that these are hyperbolic, and that the SRB measure is unique provided the dynamics is transitive. Moreover, we show that the SRB measures are statistically st

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25

Fiedler, Leander, and Pieter Naaijkens. "Haag duality for Kitaev’s quantum double model for abelian groups." Reviews in Mathematical Physics 27, no. 09 (2015): 1550021. http://dx.doi.org/10.1142/s0129055x1550021x.

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We prove Haag duality for cone-like regions in the ground state representation corresponding to the translational invariant ground state of Kitaev’s quantum double model for finite abelian groups. This property says that if an observable commutes with all observables localized outside the cone region, it actually is an element of the von Neumann algebra generated by the local observables inside the cone. This strengthens locality, which says that observables localized in disjoint regions commute. As an application, we consider the superselection structure of the quantum double model for abelia

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26

DEHGHANI, M. "A NEW PHYSICAL STATE FOR DE SITTER LINEAR GRAVITY." International Journal of Modern Physics A 26, no. 02 (2011): 301–15. http://dx.doi.org/10.1142/s0217751x11051251.

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Based on conformal invariance and using Dirac's six-cone formalism, a new conformally invariant physical field equation for de Sitter (dS) linear gravity has been obtained, which corresponds to one of the unitary irreducible representations of the dS group and is denoted by [Formula: see text] in the sense of discrete series. Using ambient space notations, it has been shown that the solution to this new field equation can be written as the multiplication of a generalized symmetric polarization tensor of rank 2 and a massless conformally coupled scalar field in dS space–time. The physical tenso

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27

Zhou, Jinchuan, and Jein-Shan Chen. "The Vector-Valued Functions Associated with Circular Cones." Abstract and Applied Analysis 2014 (2014): 1–21. http://dx.doi.org/10.1155/2014/603542.

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The circular cone is a pointed closed convex cone having hyperspherical sections orthogonal to its axis of revolution about which the cone is invariant to rotation, which includes second-order cone as a special case when the rotation angle is 45 degrees. LetLθdenote the circular cone inRn. For a functionffromRtoR, one can define a corresponding vector-valued functionfLθonRnby applyingfto the spectral values of the spectral decomposition ofx∈Rnwith respect toLθ. In this paper, we study properties that this vector-valued function inherits fromf, including Hölder continuity,B-subdifferentiability

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28

Achar, Pramod N., Anthony Henderson, and Benjamin F. Jones. "Normality of orbit closures in the enhanced nilpotent cone." Nagoya Mathematical Journal 203 (September 2011): 1–45. http://dx.doi.org/10.1215/00277630-1331854.

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AbstractWe continue the study of the closures of GL(V)-orbits in the enhanced nilpotent cone V × N begun by the first two authors. We prove that each closure is an invariant-theoretic quotient of a suitably defined enhanced quiver variety. We conjecture, and prove in special cases, that these enhanced quiver varieties are normal complete intersections, implying that the enhanced nilpotent orbit closures are also normal.

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29

Achar, Pramod N., Anthony Henderson, and Benjamin F. Jones. "Normality of orbit closures in the enhanced nilpotent cone." Nagoya Mathematical Journal 203 (September 2011): 1–45. http://dx.doi.org/10.1017/s0027763000010308.

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AbstractWe continue the study of the closures of GL(V)-orbits in the enhanced nilpotent coneV × Nbegun by the first two authors. We prove that each closure is an invariant-theoretic quotient of a suitably defined enhanced quiver variety. We conjecture, and prove in special cases, that these enhanced quiver varieties are normal complete intersections, implying that the enhanced nilpotent orbit closures are also normal.

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30

Huan, Song-Mei, and Xiao-Song Yang. "On the Number of Invariant Cones and Existence of Periodic Orbits in 3-dim Discontinuous Piecewise Linear Systems." International Journal of Bifurcation and Chaos 26, no. 03 (2016): 1650043. http://dx.doi.org/10.1142/s0218127416500437.

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For a family of discontinuous 3-dim homogeneous piecewise linear dynamical systems with two zones, we investigate the number of invariant cones and the existence of periodic orbits as a spatial relationship between the invariant manifolds of the subsystem changes. By studying the number of real roots of a quadratic equation induced by slopes of half straight lines starting from the origin in required domain, we obtain complete results on the number and stability of invariant cones. Especially, we prove that the maximum number of invariant cones is two, and obtain complete parameter regions on

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31

Revyakov, Mikhail I. "Probability of hitting a random vector in a polyhedral cone: Majorization aspect." Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy 9, no. 3 (2022): 506–16. http://dx.doi.org/10.21638/spbu01.2022.311.

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The article presents conditions under which the probability of a linear combination of random vectors falling into a polyhedral cone is a Schur-concave function of the coefficients of the combination. It is required that the cone contains the point 0, its edges are parallel to the coordinate axes, and the distribution density of vectors is a logarithmically concave sign-invariant function.

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32

J. Capiński, Maciej, and Piotr Zgliczyński. "Cone conditions and covering relations for topologically normally hyperbolic invariant manifolds." Discrete & Continuous Dynamical Systems - A 30, no. 3 (2011): 641–70. http://dx.doi.org/10.3934/dcds.2011.30.641.

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33

Wu, Y. H., and Z. Y. Hu. "The invariant representations of a quadric cone and a twisted cubic." IEEE Transactions on Pattern Analysis and Machine Intelligence 25, no. 10 (2003): 1329–32. http://dx.doi.org/10.1109/tpami.2003.1233907.

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34

Oukil, W., Ph Thieullen, and A. Kessi. "Invariant cone and synchronization state stability of the mean field models." Dynamical Systems 34, no. 3 (2018): 422–33. http://dx.doi.org/10.1080/14689367.2018.1547683.

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35

Burns, Keith, and Marlies Gerber. "Continuous invariant cone families and ergodicity of flows in dimension three." Ergodic Theory and Dynamical Systems 9, no. 1 (1989): 19–25. http://dx.doi.org/10.1017/s014338570000479x.

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AbstractIt is shown that a C2 flow on a compact three-dimensional manifold that preserves a smooth measure and has a continuous family of cones satisfying a certain invariance property must be ergodic.

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36

Tarbouriech, S., and C. Burgat. "Positively invariant sets for constrained continuous-time systems with cone properties." IEEE Transactions on Automatic Control 39, no. 2 (1994): 401–5. http://dx.doi.org/10.1109/9.272344.

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37

Acerbi, C., and A. Bassetto. "Renormalization of gauge-invariant composite operators in the light-cone gauge." Physical Review D 49, no. 2 (1994): 1067–76. http://dx.doi.org/10.1103/physrevd.49.1067.

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38

Guo, Fangcheng, Guanghan Li, and Chuanxi Wu. "Mean Curvature Type Flow with Perpendicular Neumann Boundary Condition inside a Convex Cone." Abstract and Applied Analysis 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/315768.

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We investigate the evolution of hypersurfaces with perpendicular Neumann boundary condition under mean curvature type flow, where the boundary manifold is a convex cone. We find that the volume enclosed by the cone and the evolving hypersurface is invariant. By maximal principle, we prove that the solutions of this flow exist for all time and converge to some part of a sphere exponentially asttends to infinity.

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39

KULSHRESHTHA, USHA. "LIGHT-FRONT HAMILTONIAN AND PATH INTEGRAL QUANTIZATION OF VECTOR SCHWINGER MODEL WITH A PHOTON MASS TERM." Modern Physics Letters A 27, no. 27 (2012): 1250157. http://dx.doi.org/10.1142/s021773231250157x.

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Vector Schwinger model with a mass term for the photon, describing 2D electrodynamics with massless fermions, studied by us recently [U. Kulshreshtha, Mod. Phys. Lett. A22, 2993 (2007); U. Kulshreshtha and D. S. Kulshreshtha, Int. J. Mod. Phys. A22, 6183 (2007); U. Kulshreshtha, PoS LC2008, 008 (2008)], represents a new class of models. This theory becomes gauge-invariant when studied on the light-front. This is in contrast to the instant-form theory which is gauge-non-invariant. In this work, we study the light-front Hamiltonian and path integral quantization of this theory under appropriate

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40

Wang, Weiqiang. "Resolution of Singularities of Null Cones." Canadian Mathematical Bulletin 44, no. 4 (2001): 491–503. http://dx.doi.org/10.4153/cmb-2001-049-6.

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AbstractWe give canonical resolutions of singularities of several cone varieties arising from invariant theory. We establish a connection between our resolutions and resolutions of singularities of closure of conjugacy classes in classical Lie algebras.

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41

van der Mark, Martin B., and John G. Williamson. "Relativistic Inversion, Invariance and Inter-Action." Symmetry 13, no. 7 (2021): 1117. http://dx.doi.org/10.3390/sym13071117.

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A general formula for inversion in a relativistic Clifford–Dirac algebra has been derived. Identifying the base elements of the algebra as those of space and time, the first order differential equations over all quantities proves to encompass the Maxwell equations, leads to a natural extension incorporating rest mass and spin, and allows an integration with relativistic quantum mechanics. Although the algebra is not a division algebra, it parallels reality well: where division is undefined turns out to correspond to physical limits, such as that of the light cone. The divisor corresponds to in

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42

Marcum, Howard J. "Cone length of the exterior join." Glasgow Mathematical Journal 40, no. 3 (1998): 445–61. http://dx.doi.org/10.1017/s001708950003278x.

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The cone length Cl(f) of a map f: X → Y is defined to be the least number of attaching maps possible in a conic (or iterated mapping cone) structure for f. Cone length is a homotopy invariant in the sense that if φ: X → X and ρ: Y → Y are homotopy equivalences then Cl (ρ°f°φ) = Cl(f). Furthermore Cl(f) depends only on the homotopy class of f. It was shown by Ganea [8] that the cone length of the map * → X coincides with the strong Lusternik-Schnirelmann category of X as a space (see Proposition 1.6 below). Recent work of Cornea ([3]–[6]) is much concerned with cone length and its role in criti

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43

HU, YI. "RELATIVE GEOMETRIC INVARIANT THEORY AND UNIVERSAL MODULI SPACES." International Journal of Mathematics 07, no. 02 (1996): 151–81. http://dx.doi.org/10.1142/s0129167x96000098.

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We expose in detail the principle that the relative geometric invariant theory of equivariant morphisms is related to the GIT for linearizations near the boundary of the G-effective ample cone. We then apply this principle to construct and reconstruct various universal moduli spaces. In particular, we constructed the universal moduli space over [Formula: see text] of Simpson’s p-semistable coherent sheaves and a canonical rational morphism from the universal Hilbert scheme over [Formula: see text] to a compactified universal Picard.

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44

Bélanger, Alain, and Erik G. F. Thomas. "Positive Forms on Nuclear *-Algebras and Their Integral Representations." Canadian Journal of Mathematics 42, no. 3 (1990): 410–69. http://dx.doi.org/10.4153/cjm-1990-023-3.

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Abstract.The main result of this paper establishes the existence and uniqueness of integral representations of KMS functionals on nuclear *- algebras. Our first result is about representations of *-algebras by means of operators having a common dense domain in a Hilbert space. We show, under certain regularity conditions, that (Powers) self-adjoint representations of a nuclear *-algebra, which admit a direct integral decomposition, disintegrate into representations which are almost all self-adjoint. We then define and study the class of self-derivative algebras. All algebras with an identity a

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45

NOURI-MOGHADAM, M., C. R. R. SMITH, and J. G. TAYLOR. "REPARAMETRISATION — INVARIANT CLOSED STRING FIELD THEORY: FOLIATION STRUCTURE AND PHYSICAL SPECTRUM." Modern Physics Letters A 02, no. 11 (1987): 887–92. http://dx.doi.org/10.1142/s0217732387001129.

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The foliation structure and physical spectrum of a reparametrisation-invariant field theory of closed strings are analyzed to show (a) independence of the action of the foliation (b) that the spectrum is that of the usual light cone gauge formulation.

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46

Levasseur, Thierry. "Invariant distributions supported on the nilpotent cone of a semisimple Lie algebra." Transactions of the American Mathematical Society 353, no. 10 (2001): 4189–202. http://dx.doi.org/10.1090/s0002-9947-01-02851-3.

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47

Mokler, C. "Invariant convex subcones of the Tits cone of a linear Coxeter group." Journal of Pure and Applied Algebra 222, no. 6 (2018): 1405–77. http://dx.doi.org/10.1016/j.jpaa.2017.07.006.

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48

TARBOURIECH, S., and C. BURGAT. "Positively invariant sets for continuous-time systems with the cone-preserving property." International Journal of Systems Science 24, no. 6 (1993): 1037–47. http://dx.doi.org/10.1080/00207729308949542.

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49

Ben-Dayan, I., M. Gasperini, G. Marozzi, F. Nugier, and G. Veneziano. "Backreaction on the luminosity-redshift relation from gauge invariant light-cone averaging." Journal of Cosmology and Astroparticle Physics 2012, no. 04 (2012): 036. http://dx.doi.org/10.1088/1475-7516/2012/04/036.

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50

Jacobson, T., R. P. Woodard, and N. C. Tsamis. "The light-cone gauge M−i generator and invariant string field theory." Physics Letters B 176, no. 3-4 (1986): 387–90. http://dx.doi.org/10.1016/0370-2693(86)90182-6.

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