Aspectos Biomatemáticos de Funções de Taper via Conceitos Estocásticos

Interference is usually viewed as an obstacle to communication in wireless networks, so we developed a new methodology to quantize the channel coefficients in order to realize in- terference alignment onto a lattice. Our channel model is the same as the compute-and-forward strategy. In this work, we suppose that our interference channel is real-valued and we describe a way to find a nested lattice partition chain, for any dimension n = 2r−2, where r ≥ 3, in order to quantize the channel coefficients. For that, we make use of the maximal real subfield K of L = Q(ξ2r ), where r ≥ 3, ξ = ξ2r is the 2r -th root of unity and K = Q(θ), with θ = ξ + ξ−1.

Ongoing research and experiments have enabled quantum memory to realize the storage of qubits. On the other hand, interleaving techniques are used to deal with burst of errors. Effective interleaving techniques for combating burst of errors by using classical error-correcting codes have been proposed in several articles found in the literature, however, to the best of our knowledge, little is known regarding interleaving techniques for combating clusters of errors in topological quantum error-correcting codes. Motivated by that, in this work, we present new three and four-dimensional toric quantum codes which are featured by lattice codes and apply a quantum interleaving method to such new three and four-dimensional toric quantum codes. By applying such a method to these new codes we provide new three and four-dimensional quantum burst-error-correcting codes. As a consequence, new three and four-dimensional toric and burst-error-correcting quantum codes are obtained which have better information rates than those three and four-dimensional toric quantum codes from the literature. In addition to these proposed three and four-dimensional quantum burst-error-correcting codes improve such information rates, they can be used for burst-error-correction in errors which are located, quantum data stored and quantum channels with memory.

As funções de taper são modelos biomatemáticos que visam descrever a forma e o afilamento do diâmetro do fuste das árvores. Tais funções desempenham papel central para o cálculo de biomassa das árvores e sortimentos florestais. Por este motivo, o ajuste das funções de taper implica obter uma boa aproximação ou melhora na estimativa dos multiprodutos madereiros: diâmetros, alturas e volumes parciais, totais e comerciais de troncos de árvores. O objetivo deste trabalho é o estudo da dinâmica de três modelos de taper os quais são denominados modelo de Ormerod, Demaerschalk e Leite e Garcia.