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Journal articles on the topic 'Symmetric models'

Author: Grafiati

Published: 4 June 2021

Last updated: 5 February 2022

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1

Albeverio, Sergio, and Shao-Ming Fei. "Symmetry, Integrable Chain Models and Stochastic Processes." Reviews in Mathematical Physics 10, no. 06 (August 1998): 723–50. http://dx.doi.org/10.1142/s0129055x98000239.

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A general way to construct chain models with certain Lie algebraic or quantum Lie algebraic symmetries is presented. These symmetric models give rise to series of integrable systems. As an example the chain models with An symmetry and the related Temperley–Lieb algebraic structures and representations are discussed. It is shown that corresponding to these An symmetric integrable chain models there are exactly solvable stationary discrete-time (resp. continuous-time) Markov chains with transition matrices (resp. intensity matrices) having spectra which coincide with the ones of the corresponding integrable models.

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2

Cordeiro, Gauss M., and Marinho G. Andrade. "Transformed symmetric models." Statistical Modelling: An International Journal 11, no. 4 (August 2011): 371–88. http://dx.doi.org/10.1177/1471082x1001100405.

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3

GANIKHODJAEV, N. N., and U. A. ROZIKOV. "PIROGOV–SINAI THEORY WITH NEW CONTOURS FOR SYMMETRIC MODELS." International Journal of Geometric Methods in Modern Physics 05, no. 04 (June 2008): 537–46. http://dx.doi.org/10.1142/s0219887808002928.

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The contour argument was introduced by Peierls for two dimensional Ising model. Peierls benefited from the particular symmetries of the Ising model. For non-symmetric models the argument was developed by Pirogov and Sinai. It is very general and rather difficult. Intuitively clear that the Peierls argument does work for any symmetric model. But contours defined in Pirogov–Sinai theory do not work if one wants to use Peierls argument for more general symmetric models. We give a new definition of contour which allows relatively easier proof to the main result of the Pirogov–Sinai theory for symmetric models. Namely, our contours allow us to apply the classical Peierls argument (with contour removal operation).

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4

Jolicoeur, Th. "Symmetric quantum models from non-symmetric classical actions." Physics Letters B 171, no. 4 (May 1986): 431–34. http://dx.doi.org/10.1016/0370-2693(86)91434-6.

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5

Zavadskas, Edmundas Kazimieras, Jurgita Antucheviciene, and Zenonas Turskis. "Symmetric and Asymmetric Data in Solution Models." Symmetry 13, no. 6 (June 9, 2021): 1045. http://dx.doi.org/10.3390/sym13061045.

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This Special Issue covers symmetric and asymmetric data that occur in real-life problems. We invited authors to submit their theoretical or experimental research to present engineering and economic problem solution models that deal with symmetry or asymmetry of different data types. The Special Issue gained interest in the research community and received many submissions. After rigorous scientific evaluation by editors and reviewers, seventeen papers were accepted and published. The authors proposed different solution models, mainly covering uncertain data in multi-criteria decision-making problems as complex tools to balance the symmetry between goals, risks, and constraints to cope with the complicated problems in engineering or management. Therefore, we invite researchers interested in the topics to read the papers provided in the Special Issue.

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6

Kuroki, Tsunehide, Yuji Okawa, Fumihiko Sugino, and Tamiaki Yoneya. "ManifestlyT-duality symmetric matrix models." Physical Review D 55, no. 10 (May 15, 1997): 6429–37. http://dx.doi.org/10.1103/physrevd.55.6429.

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7

Mars, Marc. "Axially symmetric Einstein-Straus models." Physical Review D 57, no. 6 (March 15, 1998): 3389–400. http://dx.doi.org/10.1103/physrevd.57.3389.

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8

Sharif, M., and Z. Yousaf. "Expansion-free cylindrically symmetric models." Canadian Journal of Physics 90, no. 9 (September 2012): 865–70. http://dx.doi.org/10.1139/p2012-070.

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This paper investigates cylindrically symmetric distribution of an anisotropic fluid under the expansion-free condition, which requires the existence of a vacuum cavity within the fluid distribution. We have discussed two families of solutions that further provide two exact models in each family. Some of these solutions satisfy the Darmois junction condition while some show the presence of a thin shell on both boundary surfaces. We also formulate a relation between the Weyl tensor and energy density.

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9

Mbala, S., M. M. Manene, and J. A. M. Ottieno. "SYMMETRIC STRATIFIED TRUTH DETECTION MODELS." Far East Journal of Theoretical Statistics 58, no. 2 (March 20, 2020): 77–89. http://dx.doi.org/10.17654/ts058020077.

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10

Shani, Assaf. "Borel reducibility and symmetric models." Transactions of the American Mathematical Society 374, no. 1 (November 3, 2020): 453–85. http://dx.doi.org/10.1090/tran/8250.

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11

Jurgelenaite, Rasa, and Tom Heskes. "Learning symmetric causal independence models." Machine Learning 71, no. 2-3 (January 29, 2008): 133–53. http://dx.doi.org/10.1007/s10994-007-5041-7.

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12

ANDERSON, ARLEN. "SYMMETRIC SPACE TWO-MATRIX MODELS." International Journal of Modern Physics A 07, no. 23 (September 20, 1992): 5781–96. http://dx.doi.org/10.1142/s0217751x92002635.

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The radial form of the partition function of a two-matrix model is formally given in terms of a spherical function for matrices representing any Euclidean symmetric space. An explicit expression is obtained by constructing the spherical function by the method of intertwining. The reduction of two-matrix models based on Lie algebras is an elementary application. A model based on the rank one symmetric space isomorphic to RN is less trivial and is treated in detail. This model may be interpreted as an Ising model on a random branched polymer. It has the unusual feature that the maximum order of criticality is different in the planar and double-scaling limits.

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13

Sharif, M., and Z. Yousaf. "Shearfree Spherically Symmetric Fluid Models." Chinese Physics Letters 29, no. 5 (May 2012): 050403. http://dx.doi.org/10.1088/0256-307x/29/5/050403.

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14

Pandey, U. S., G. S. Dubey, S. N. Singh, and D. R. Singh. "Plane-symmetric magnetofluid cosmological models." Astrophysics and Space Science 150, no. 2 (1988): 205–12. http://dx.doi.org/10.1007/bf00641716.

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15

He, Chen, Lei Wang, Yonghui Zhang, and Chunmeng Wang. "Dominant Symmetry Plane Detection for Point-Based 3D Models." Advances in Multimedia 2020 (October 27, 2020): 1–8. http://dx.doi.org/10.1155/2020/8861367.

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In this paper, a symmetry detection algorithm for three-dimensional point cloud model based on weighted principal component analysis (PCA) is proposed. The proposed algorithm works as follows: first, using the point element’s area as the initial weight, a weighted PCA is performed and a plane is selected as the initial symmetry plane; and then an iterative method is used to adjust the approximate symmetry plane step by step to make it tend to perfect symmetry plane (dominant symmetry plane). In each iteration, we first update the weight of each point based on a distance metric and then use the new weights to perform a weighted PCA to determine a new symmetry plane. If the current plane of symmetry is close enough to the plane of symmetry in the previous iteration or if the number of iterations exceeds a given threshold, the iteration terminates. After the iteration is terminated, the plane of symmetry in the last iteration is taken as the dominant symmetry plane of the model. As shown in experimental results, the proposed algorithm can find the dominant symmetry plane for symmetric models and it also works well for nonperfectly symmetric models.

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16

JARVIS, P. D., and R. B. ZHANG. "C=1 COSET MODELS AND THEIR FUSION ALGEBRAS." International Journal of Modern Physics B 04, no. 05 (April 1990): 979–93. http://dx.doi.org/10.1142/s0217979290000486.

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Higher symmetry algebras, conjectured empirically in certain c=1 models in statistical mechanics, are identified with the extended conformal algebras in coset constructions of the maximal hermitian symmetric spaces. The branching functions and their modular properties are derived and associated algebras, compatible with the fusion rules are discussed.

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17

Li, Zhengyi, and Zheng Sun. "The Nelson-Seiberg Theorem Generalized with Nonpolynomial Superpotentials." Advances in High Energy Physics 2020 (August 17, 2020): 1–6. http://dx.doi.org/10.1155/2020/3701943.

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The Nelson-Seiberg theorem relates R-symmetries to F-term supersymmetry breaking and provides a guiding rule for new physics model building beyond the Standard Model. A revision of the theorem gives a necessary and sufficient condition to supersymmetry breaking in models with polynomial superpotentials. This work revisits the theorem to include models with nonpolynomial superpotentials. With a generic R-symmetric superpotential, a singularity at the origin of the field space implies both R-symmetry breaking and supersymmetry breaking. We give a generalized necessary and sufficient condition for supersymmetry breaking which applies to both perturbative and nonperturbative models.

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18

Bahamonde, Sebastian, Konstantinos Dialektopoulos, and Ugur Camci. "Exact Spherically Symmetric Solutions in Modified Gauss–Bonnet Gravity from Noether Symmetry Approach." Symmetry 12, no. 1 (January 1, 2020): 68. http://dx.doi.org/10.3390/sym12010068.

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It is broadly known that Lie point symmetries and their subcase, Noether symmetries, can be used as a geometric criterion to select alternative theories of gravity. Here, we use Noether symmetries as a selection criterion to distinguish those models of f ( R , G ) theory, with R and G being the Ricci and the Gauss–Bonnet scalars respectively, that are invariant under point transformations in a spherically symmetric background. In total, we find ten different forms of f that present symmetries and calculate their invariant quantities, i.e., Noether vector fields. Furthermore, we use these Noether symmetries to find exact spherically symmetric solutions in some of the models of f ( R , G ) theory.

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19

Saito, Fuyuki. "Impact of arithmetic asymmetries on simulated thermodynamic ice-sheet evolution." Journal of Glaciology 58, no. 210 (2012): 767–75. http://dx.doi.org/10.3189/2012jog11j247.

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AbstractNumerical ice-sheet model experiments sometimes exhibit asymmetries in the solutions, despite the symmetric conditions imposed. By first identifying arithmetic asymmetry in the models as one of the reasons for symmetry-breaking through loss of trailing digits, this paper presents a numerical procedure to preserve the symmetries by restructuring the order of the floating-point evaluation of the equations in the numerical ice-sheet model. Re-examination of the series of experiments in the HEINO topic of the ISMIP demonstrates that small perturbations triggered by arithmetic asymmetries significantly amplify and cause qualitative differences in the simulated ice-sheet evolutions. This study shows that it is imperative to apply a symmetric scheme to maintain overall symmetries in the simulation of ice-sheet evolution, at least under a highly idealized configuration.

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20

Buijs, Urtzi, Yves Félix, Aniceto Murillo, and Daniel Tanré. "Symmetric Lie models of a triangle." Fundamenta Mathematicae 246, no. 3 (2019): 289–300. http://dx.doi.org/10.4064/fm518-7-2018.

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21

Shcheglov, B. A. "Linear and axially symmetric filtration models." Journal of Machinery Manufacture and Reliability 38, no. 6 (December 2009): 579–85. http://dx.doi.org/10.3103/s1052618809060107.

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22

Sarkar, Utpal. "Parity in left–right symmetric models." Physics Letters B 594, no. 3-4 (August 2004): 308–14. http://dx.doi.org/10.1016/j.physletb.2004.05.041.

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23

Dumańska-Małyszko, Anna, Zofia Stępień, and Aleksy Tralle. "Generalized symmetric spaces and minimal models." Annales Polonici Mathematici 64, no. 1 (1996): 17–35. http://dx.doi.org/10.4064/ap-64-1-17-35.

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24

Fring, Andreas. "PT -symmetric deformations of integrable models." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 371, no. 1989 (April 28, 2013): 20120046. http://dx.doi.org/10.1098/rsta.2012.0046.

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We review recent results on new physical models constructed as -symmetrical deformations or extensions of different types of integrable models. We present non-Hermitian versions of quantum spin chains, multi-particle systems of Calogero–Moser–Sutherland type and nonlinear integrable field equations of Korteweg–de Vries type. The quantum spin chain discussed is related to the first example in the series of the non-unitary models of minimal conformal field theories. For the Calogero–Moser–Sutherland models, we provide three alternative deformations: a complex extension for models related to all types of Coxeter/Weyl groups; models describing the evolution of poles in constrained real-valued field equations of nonlinear integrable systems; and genuine deformations based on antilinearly invariant deformed root systems. Deformations of complex nonlinear integrable field equations of Korteweg–de Vries type are studied with regard to different kinds of -symmetrical scenarios. A reduction to simple complex quantum mechanical models currently under discussion is presented.

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25

Cornea, Emil, Hongtu Zhu, Peter Kim, and Joseph G. Ibrahim. "Regression models on Riemannian symmetric spaces." Journal of the Royal Statistical Society: Series B (Statistical Methodology) 79, no. 2 (March 20, 2016): 463–82. http://dx.doi.org/10.1111/rssb.12169.

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26

Yoshida, Shin'ichirou, Benjamin C. Bromley, Jocelyn S. Read, Kōji Uryū, and John L. Friedman. "Models of helically symmetric binary systems." Classical and Quantum Gravity 23, no. 16 (July 27, 2006): S599—S613. http://dx.doi.org/10.1088/0264-9381/23/16/s16.

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27

Sarisaman, Mustafa. "Pseudoduality between symmetric space sigma models." Journal of Mathematical Physics 50, no. 11 (November 2009): 112303. http://dx.doi.org/10.1063/1.3257181.

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28

Sinha, A., and P. Roy. "PT symmetric models with nonlinear pseudosupersymmetry." Journal of Mathematical Physics 46, no. 3 (March 2005): 032102. http://dx.doi.org/10.1063/1.1843273.

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29

Marugán, Guillermo A. Mena. "Canonical quantization of cylindrically symmetric models." Physical Review D 53, no. 6 (March 15, 1996): 3156–61. http://dx.doi.org/10.1103/physrevd.53.3156.

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30

SHARIF, M. "SYMMETRIES OF LOCALLY ROTATIONALLY SYMMETRIC MODELS." International Journal of Modern Physics D 14, no. 10 (October 2005): 1675–84. http://dx.doi.org/10.1142/s0218271805007322.

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Matter collineations of locally rotationally symmetric space–times are considered. These are investigated when the energy–momentum tensor is degenerate. We know that the degenerate case provides infinite dimensional matter collineations in most of the cases. However, an interesting case arises where we obtain proper matter collineations. We also solve the constraint equations for a particular case to obtain some cosmological models.

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31

Paula, Gilberto A., and Francisco José A. Cysneiros. "Systematic risk estimation in symmetric models." Applied Economics Letters 16, no. 2 (January 26, 2009): 217–21. http://dx.doi.org/10.1080/13504850601018239.

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32

El-Sayed, Sayed Mesheal, Ahmed Amin El-Sheikh, and Mohamed Khalifa Ahmed Issa. "WEIGHTED SYMMETRIC ESTIMATORS OF AUTOREGRESSIVE MODELS." Advances and Applications in Statistics 47, no. 2 (December 18, 2015): 145–52. http://dx.doi.org/10.17654/adasnov2015_145_152.

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33

Kupsch, J., and O. G. Smolyanov. "Models of the symmetric Fock algebra." Mathematical Notes 60, no. 6 (December 1996): 710–13. http://dx.doi.org/10.1007/bf02305167.

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34

Sharif, M., and H. Ismat Fatima. "Charged anisotropic static cylindrically symmetric models." Canadian Journal of Physics 91, no. 2 (February 1, 2013): 113–19. http://dx.doi.org/10.1139/cjp-2012-0418.

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In this paper, we investigate exact solutions of the field equations for charged, anisotropic, static, cylindrically symmetric space–time. We use a barotropic equation of state linearly relating the radial pressure and energy density. The analysis of the matter variables indicates a physically reasonable matter distribution. In the most general case, the central densities correspond to realistic stellar objects in the presence of anisotropy and charge. Finally, we conclude that matter sources are less affected by the electromagnetic field.

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35

Nolan, Brien C., and Louise V. Nolan. "On isotropic cylindrically symmetric stellar models." Classical and Quantum Gravity 21, no. 15 (July 14, 2004): 3693–703. http://dx.doi.org/10.1088/0264-9381/21/15/005.

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36

Stein-Schabes, Jaime A. "Inflation in spherically symmetric inhomogeneous models." Physical Review D 35, no. 8 (April 15, 1987): 2345–51. http://dx.doi.org/10.1103/physrevd.35.2345.

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37

Cocolicchio, D., G. Costa, G. L. Fogli, J. H. Kim, and A. Masiero. "RareBdecays in left-right-symmetric models." Physical Review D 40, no. 5 (September 1, 1989): 1477–85. http://dx.doi.org/10.1103/physrevd.40.1477.

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38

Foot, R., H. Lew, and R. R. Volkas. "Phenomenology of quark-lepton-symmetric models." Physical Review D 44, no. 5 (September 1, 1991): 1531–46. http://dx.doi.org/10.1103/physrevd.44.1531.

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39

Nagel, Thorsten J., and W. Roger Buck. "Symmetric alternative to asymmetric rifting models." Geology 32, no. 11 (2004): 937. http://dx.doi.org/10.1130/g20785.1.

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40

Burgarth, Daniel. "Identifying combinatorially symmetric Hidden Markov Models." Electronic Journal of Linear Algebra 34 (February 21, 2018): 393–98. http://dx.doi.org/10.13001/1081-3810.3651.

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A sufficient criterion for the unique parameter identification of combinatorially symmetric Hidden Markov Models, based on the structure of their transition matrix, is provided. If the observed states of the chain form a zero forcing set of the graph of the Markov model, then it is uniquely identifiable and an explicit reconstruction method is given.

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41

Maharaj, S. D., P. G. L. Leach, and R. Maartens. "Expanding spherically symmetric models without shear." General Relativity and Gravitation 28, no. 1 (January 1996): 35–50. http://dx.doi.org/10.1007/bf02106852.

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42

Ibacache-Pulgar, Germán, Gilberto A. Paula, and Francisco José A. Cysneiros. "Semiparametric additive models under symmetric distributions." TEST 22, no. 1 (October 3, 2012): 103–21. http://dx.doi.org/10.1007/s11749-012-0309-z.

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43

Montaldo, S., C. Oniciuc, and A. Ratto. "Rotationally symmetric biharmonic maps between models." Journal of Mathematical Analysis and Applications 431, no. 1 (November 2015): 494–508. http://dx.doi.org/10.1016/j.jmaa.2015.05.082.

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44

Krishna Rao, J., and M. Annapurna. "Spherically symmetric static inhomogeneous cosmological models." Pramana 36, no. 1 (January 1991): 95–103. http://dx.doi.org/10.1007/bf02846493.

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45

Plant, Robert S., and Michael C. Birse. "ϱ → 4π in chirally symmetric models." Physics Letters B 365, no. 1-4 (January 1996): 292–96. http://dx.doi.org/10.1016/0370-2693(95)01273-7.

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46

Ghiloni, Riccardo, and Alessandro Tancredi. "Algebraic models of symmetric Nash sets." Revista Matemática Complutense 27, no. 2 (November 8, 2013): 385–419. http://dx.doi.org/10.1007/s13163-013-0140-4.

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47

Meisinger, Peter N., and Michael C. Ogilvie. "PT symmetry in classical and quantum statistical mechanics." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 371, no. 1989 (April 28, 2013): 20120058. http://dx.doi.org/10.1098/rsta.2012.0058.

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-symmetric Hamiltonians and transfer matrices arise naturally in statistical mechanics. These classical and quantum models often require the use of complex or negative weights and thus fall outside the conventional equilibrium statistical mechanics of Hermitian systems. -symmetric models form a natural class where the partition function is necessarily real, but not necessarily positive. The correlation functions of these models display a much richer set of behaviours than Hermitian systems, displaying sinusoidally modulated exponential decay, as in a dense fluid, or even sinusoidal modulation without decay. Classical spin models with -symmetry include Z( N ) models with a complex magnetic field, the chiral Potts model and the anisotropic next-nearest-neighbour Ising model. Quantum many-body problems with a non-zero chemical potential have a natural -symmetric representation related to the sign problem. Two-dimensional quantum chromodynamics with heavy quarks at non-zero chemical potential can be solved by diagonalizing an appropriate -symmetric Hamiltonian.

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48

QUANO, YAS-HIRO. "GENERALIZED SKLYANIN ALGEBRA AND INTEGRABLE LATTICE MODELS." International Journal of Modern Physics A 09, no. 13 (May 20, 1994): 2245–81. http://dx.doi.org/10.1142/s0217751x94000935.

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We study three properties of the ℤn⊗ℤn-symmetric lattice model; i.e. the initial condition, the unitarity and the crossing symmetry. The scalar factors appearing in the unitarity and the crossing symmetry are explicitly obtained. The [Formula: see text]-Sklyanin algebra is introduced in the natural framework of the inverse problem for this model. We build both finite- and infinite-dimensional representations of the [Formula: see text]-Sklyanin algebra, and construct an [Formula: see text] generalization of the broken ℤN model. Furthermore, the Yang-Baxter equation for this new model is proved.

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49

Spelsberg-Korspeter, G., D. Hochlenert, and P. Hagedorn. "Non-linear investigation of an asymmetric disk brake model." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 225, no. 10 (July 6, 2011): 2325–32. http://dx.doi.org/10.1177/0954406211408531.

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Among design engineers, it is known that breaking symmetries of a brake rotor can help to prevent squeal. From a modelling point of view, in the literature brake squeal is almost exclusively treated using models with a symmetric brake rotor, which are capable of explaining the excitation mechanism but yield no insight into the relation between rotor asymmetry and stability. In previous work, it has been demonstrated with linear models that the breaking of symmetries of the brake rotor has a stabilizing effect. The equations of motion for this case have periodic coefficients with respect to time and are therefore more difficult to analyse than in the symmetric case. The goal of this article is to investigate whether due to the breaking of symmetries also, the non-linear behaviour of the brake changes qualitatively compared to the symmetric case.

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50

Sathikh, S., M. B. K. Moorthy, and M. Krishnan. "A symmetric linear elastic model for helical wire strands under axisymmetric loads." Journal of Strain Analysis for Engineering Design 31, no. 5 (September 1, 1996): 389–99. http://dx.doi.org/10.1243/03093247v315389.

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Among several mathematical models for predicting the mechanical response of a helical wire strand to axisymmetric tension and torque derived in the literature over five decades, purely tensile wire linear elastic models have the symmetry of a stiffness matrix. Curiously, in those models where wire bending and torsion terms were included there was a lack of symmetry. In this paper the origin of the lack of symmetry in the earlier models has been identified and a symmetric model developed. The correct generalized strains for this purpose were derived using Wempner's theory and verified using Ramsey's theory. The validity of this model has been verified by comparing its results with that of earlier models and experiments available. This linear elastic symmetric model brings forth the much needed agreement between the global (strand) and the local (wire) responses which should help to simplify considerably the analysis of multi-layer strands and multi-strand wire ropes.

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