Tigran T. Tchrakian

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The Dirac-Yang monopoles are singular Yang–Mills field configurations in all Euclidean dimensions. The regular counterpart of the Dirac monopole in D = 3 is the t Hooft-Polyakov monopole, the former being simply a gauge transform of the asymptotic fields of the latter. Here, regular counterparts of Dirac-Yang monopoles in all dimensions, are described. In(More)
— In this paper, we propose a new framework for macroscopic traffic state estimation based on the Fourier-Galerkin projection method and minimax state estimation approach. We assign a Fourier-Galerkin reduced model to a partial differential equation describing a macroscopic model of traffic flow. Taking into account a priori estimates for the projection(More)
—In this paper, we propose a new framework for macroscopic traffic state estimation. Our approach is a robust " discretize " then " optimize " strategy, based on the Fourier– Galerkin projection method and minimax state estimation. We assign a Fourier–Galerkin reduced model to a macroscopic model of traffic flow, described by a hyperbolic partial(More)
In the usual d dimensional SO(d) gauged Higgs models with d-component Higgs fields, the 'energies' of the topologically stable solitons are bounded from below by the Chern-Pontryagin charges. A new class of Higgs models is proposed here, whose 'energies' are stabilised instead by the winding number of the Higgs field itself, with no reference to the gauge(More)