5 resultados para Large-Scale Coherent Structure

em Universidade do Minho


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Programa Doutoral em Engenharia Mecânica.

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The MAP-i doctoral program of the Universities of Minho, Aveiro and Porto

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Tese de Doutoramento em Ciência e Engenharia de Polímeros e Compósitos

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The necessary information to distinguish a local inhomogeneous mass density field from its spatial average on a compact domain of the universe can be measured by relative information entropy. The Kullback-Leibler (KL) formula arises very naturally in this context, however, it provides a very complicated way to compute the mutual information between spatially separated but causally connected regions of the universe in a realistic, inhomogeneous model. To circumvent this issue, by considering a parametric extension of the KL measure, we develop a simple model to describe the mutual information which is entangled via the gravitational field equations. We show that the Tsallis relative entropy can be a good approximation in the case of small inhomogeneities, and for measuring the independent relative information inside the domain, we propose the R\'enyi relative entropy formula.