The Experts below are selected from a list of 294 Experts worldwide ranked by ideXlab platform
Neri Merhav - One of the best experts on this subject based on the ideXlab platform.
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On the Statistical Physics of Directed Polymers in a Random Medium and Their Relation to Tree-Structured Lossy Compression
2020Co-Authors: Neri MerhavAbstract:Using well–known results from statistical physics, concerning the almost–sure behavior of the free energy of directed polymers in a random medium, we prove that a certain ensemble of tree–structured rate–distortion codes with delayless decoding, asymptotically achieves the rate–distortion function under a certain Symmetry Condition.
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On the Statistical Physics of Directed Polymers in a Random Medium and Their Relation to Tree Codes
IEEE Transactions on Information Theory, 2010Co-Authors: Neri MerhavAbstract:Using well-known results from statistical physics, concerning the almost-sure behavior of the free energy of directed polymers in a random medium, we prove that random tree codes achieve the distortion-rate function, not only on the average, but moreover, almost surely under a certain Symmetry Condition.
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ISIT - On the statistical physics of directed polymers in a random medium and their relation to tree codes
2009 IEEE International Symposium on Information Theory, 2009Co-Authors: Neri MerhavAbstract:Using well-known results from statistical physics, concerning the almost-sure behavior of the free energy of directed polymers in a random medium, we prove that random tree codes achieve the distortion-rate function almost surely under a certain Symmetry Condition.
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On the statistical physics of directed polymers in a random medium and their relation to tree codes
2009 IEEE International Symposium on Information Theory, 2009Co-Authors: Neri MerhavAbstract:Using well-known results from statistical physics, concerning the almost-sure behavior of the free energy of directed polymers in a random medium, we prove that random tree codes achieve the distortion-rate function almost surely under a certain Symmetry Condition.
Joe Sato - One of the best experts on this subject based on the ideXlab platform.
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Gauge-Higgs Unification Models in Six Dimensions with Extra Space and GUT Gauge Symmetry
Advances in High Energy Physics, 2012Co-Authors: Cheng-wei Chiang, Takaaki Nomura, Joe SatoAbstract:We review gauge-Higgs unification models based on gauge theories defined on six-dimensional spacetime with / topology in the extra spatial dimensions. Nontrivial boundary Conditions are imposed on the extra / space. This review considers two scenarios for constructing a four-dimensional theory from the six-dimensional model. One scheme utilizes the SO(12) gauge Symmetry with a special Symmetry Condition imposed on the gauge field, whereas the other employs the E6 gauge Symmetry without requiring the additional Symmetry Condition. Both models lead to a standard model-like gauge theory with the Symmetry and SM fermions in four dimensions. The Higgs sector of the model is also analyzed. The electroweak Symmetry breaking can be realized, and the weak gauge boson and Higgs boson masses are obtained.
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Gauge-Higgs unification models in six dimensions with $S^2/Z_2$ extra space and GUT gauge Symmetry
arXiv: High Energy Physics - Phenomenology, 2011Co-Authors: Cheng-wei Chiang, Takaaki Nomura, Joe SatoAbstract:In this article, we review gauge-Higgs unification models based on gauge theories defined on six-dimensional spacetime with $S^2/Z_2$ topology in the extra spatial dimensions. On the extra $S^2/Z_2$ space, non-trivial boundary Conditions are imposed. This review considers two scenarios for constructing a four-dimensional theory from the six-dimensional model. One scheme utilizes the SO(12) gauge Symmetry with a special Symmetry Condition imposed on the gauge field, whereas the other employs the E$_6$ gauge Symmetry without requiring the additional Symmetry Condition. Both models lead to a Standard Model-like gauge theory with the SU(3) $\times$ SU(2)$_L$ $\times$ U(1)$_Y$($\times$ U(1)$^2$) Symmetry and SM fermions in four dimensions. The Higgs sector of the model is also analyzed. The electroweak Symmetry breaking can be realized, and the weak gauge boson and Higgs boson masses are obtained.
Gerard Awanou - One of the best experts on this subject based on the ideXlab platform.
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rectangular mixed elements for elasticity with weakly imposed Symmetry Condition
Advances in Computational Mathematics, 2013Co-Authors: Gerard AwanouAbstract:We present new rectangular mixed finite elements for linear elasticity. The approach is based on a modification of the Hellinger---Reissner functional in which the Symmetry of the stress field is enforced weakly through the introduction of a Lagrange multiplier. The elements are analogues of the lowest order elements described in Arnold et al. (Math Comput 76:1699---1723, 2007). Piecewise constants are used to approximate the displacement and the rotation. The first order BDM elements are used to approximate each row of the stress field.
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rectangular mixed elements for elasticity with weakly imposed Symmetry Condition
arXiv: Numerical Analysis, 2010Co-Authors: Gerard AwanouAbstract:We present new rectangular mixed finite elements for linear elasticity. The approach is based on a modification of the Hellinger-Reissner functional in which the Symmetry of the stress field is enforced weakly through the introduction of a Lagrange multiplier. The elements are analogues of the lowest order elements described in Arnold, Falk and Winther [ Mixed finite element methods for linear elasticity with weakly imposed Symmetry. Mathematics of Computation 76 (2007), pp. 1699--1723]. Piecewise constants are used to approximate the displacement and the rotation. The first order BDM elements are used to approximate each row of the stress field.
Nuray Candemir - One of the best experts on this subject based on the ideXlab platform.
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PSEUDOSPIN Symmetry IN TRIGONOMETRIC PÖSCHL–TELLER POTENTIAL
International Journal of Modern Physics E, 2020Co-Authors: Nuray CandemirAbstract:We investigated the analytical [Formula: see text]-wave solutions of Dirac equation for trigonometric Pöschl–Teller (PT) potential under the pseudospin Symmetry Condition. The energy eigenvalues equation and corresponding wave functions are obtained by using the Nikiforov–Uvarov (NU) method. The energy bound states are also calculated numerically.
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PSEUDOSPIN Symmetry IN TRIGONOMETRIC PÖSCHL–TELLER POTENTIAL
International Journal of Modern Physics E-nuclear Physics, 2012Co-Authors: Nuray CandemirAbstract:We investigated the analytical -wave solutions of Dirac equation for trigonometric Poschl–Teller (PT) potential under the pseudospin Symmetry Condition. The energy eigenvalues equation and corresponding wave functions are obtained by using the Nikiforov–Uvarov (NU) method. The energy bound states are also calculated numerically.
Cheng-wei Chiang - One of the best experts on this subject based on the ideXlab platform.
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Gauge-Higgs Unification Models in Six Dimensions with Extra Space and GUT Gauge Symmetry
Advances in High Energy Physics, 2012Co-Authors: Cheng-wei Chiang, Takaaki Nomura, Joe SatoAbstract:We review gauge-Higgs unification models based on gauge theories defined on six-dimensional spacetime with / topology in the extra spatial dimensions. Nontrivial boundary Conditions are imposed on the extra / space. This review considers two scenarios for constructing a four-dimensional theory from the six-dimensional model. One scheme utilizes the SO(12) gauge Symmetry with a special Symmetry Condition imposed on the gauge field, whereas the other employs the E6 gauge Symmetry without requiring the additional Symmetry Condition. Both models lead to a standard model-like gauge theory with the Symmetry and SM fermions in four dimensions. The Higgs sector of the model is also analyzed. The electroweak Symmetry breaking can be realized, and the weak gauge boson and Higgs boson masses are obtained.
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Gauge-Higgs unification models in six dimensions with $S^2/Z_2$ extra space and GUT gauge Symmetry
arXiv: High Energy Physics - Phenomenology, 2011Co-Authors: Cheng-wei Chiang, Takaaki Nomura, Joe SatoAbstract:In this article, we review gauge-Higgs unification models based on gauge theories defined on six-dimensional spacetime with $S^2/Z_2$ topology in the extra spatial dimensions. On the extra $S^2/Z_2$ space, non-trivial boundary Conditions are imposed. This review considers two scenarios for constructing a four-dimensional theory from the six-dimensional model. One scheme utilizes the SO(12) gauge Symmetry with a special Symmetry Condition imposed on the gauge field, whereas the other employs the E$_6$ gauge Symmetry without requiring the additional Symmetry Condition. Both models lead to a Standard Model-like gauge theory with the SU(3) $\times$ SU(2)$_L$ $\times$ U(1)$_Y$($\times$ U(1)$^2$) Symmetry and SM fermions in four dimensions. The Higgs sector of the model is also analyzed. The electroweak Symmetry breaking can be realized, and the weak gauge boson and Higgs boson masses are obtained.
