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Lattice constellations and codes from quadratic number fields
(2001-05-01)
We propose new classes of linear codes over integer rings of quadratic extensions of Q, the field of rational numbers. The codes are considered with respect to a Mannheim metric, which is a Manhattan metric modulo a ...
Lattice constellations and codes from quadratic number fields
(2001-05-01)
We propose new classes of linear codes over integer rings of quadratic extensions of Q, the field of rational numbers. The codes are considered with respect to a Mannheim metric, which is a Manhattan metric modulo a ...
Linear covariant gauges on the lattice
(ELSEVIER SCIENCE BV, 2009)
Linear covariant gauges, such as Feynman gauge, are very useful in perturbative calculations. Their non-perturbative formulation is, however, highly non-trivial. In particular, it is a challenge to define linear covariant ...
Fock space for fermion-like lattices and the linear Glauber model
(ELSEVIER SCIENCE BV, 2008)
The concept of Fock space representation is developed to deal with stochastic spin lattices written in terms of fermion operators. A density operator is introduced in order to follow in parallel the developments of the ...
Flat tori, lattices and bounds for commutative group codes
(SPRINGER, 2008)
We show that commutative group spherical codes in R(n), as introduced by D. Slepian, are directly related to flat tori and quotients of lattices. As consequence of this view, we derive new results on the geometry of these ...
The Quasi-lattice of Indiscernible Elements
(Springer, 2014)
Constructions of algebraic lattices
(Sociedade Brasileira de Matemática Aplicada e Computacional, 2014)
On sequences of projections of the cubic lattice
(Springer HeidelbergHeidelbergAlemanha, 2013)
Toda lattice realization of integrable hierarchies
(Kluwer Academic Publ, 2014)
Change of the vortex lattice symmetry in the vicinity of the macro-to-mesoscopic threshold
(Elsevier B.V., 2012-09-01)
In the present work we study the influence of the surface on the vortex structure as a function of the sample size for different temperatures. It is shown that a crossover between a hexagonal lattice, which is characteristic ...