Examinando por Autor "Loaiza Ossa, Gabriel Ignacio"
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Ítem Growth, structure and friction behavior of the nanocomposite hard coatings WS2-Ti(Universidad EAFIT, 2010-06-01) Borja–Tamayo, R.; Cartagena Marín, C.; Loaiza Ossa, Gabriel Ignacio; Molina Vélez, G.; Puerta Yepes, María Eugenia; The University of North Texas; Universidad del Valle; Universidad del Valle; Universidad del Valle; Universidad Nacional Autónoma de MéxicoÍtem Lie Algebra Representation, Conservation Laws and Some Invariant Solutions for a Generalized Emden-Fowler Equation(Universidad EAFIT, 2021-12-01) Loaiza Ossa, Gabriel Ignacio; Acevedo-Agudelo, Yeisson; Londoño-Duque, Oscar; García Hernández, Danilo A.; Universidad EAFIT; Universidad EAFIT; Universidad EAFIT; UNICAMPAll generators of the optimal algebra associated with a generalization of the Endem-Fowler equation are showed; some of them allow to give invariant solutions. Variational symmetries and the respective conservation laws are also showed. Finally, a representation of Lie symmetry algebra is showed by groups of matrices.Ítem On a minimal operator ideals defined by means of interpolation spaces(Universidad EAFIT, 2007-12-12) Puerta Yepes, María Eugenia; Loaiza Ossa, Gabriel Ignacio; Universidad EAFITÍtem Over the non-extensivity parameter for some superadditives systems(Universidad EAFIT, 2010-06-01) Borja–Tamayo, R.; Cartagena Marín, C.; Loaiza Ossa, Gabriel Ignacio; Molina Vélez, G.; Puerta Yepes, María Eugenia; Universidad EAFITÍtem A q-exponential statistical Banach manifold(ELSEVIER, 2013-02) Quiceno Echavarría, Héctor Román; Loaiza Ossa, Gabriel Ignacio; department:Universidad EAFIT. Escuela de Ciencias. Grupo de Investigación Análisis Funcional y Aplicaciones; Héctor R. Quiceno (hquiceno@eafit.edu.co); Gabriel Loaiza (gloaiza@eafit.edu.co); Análisis Funcional y AplicacionesLetµbe a given probability measure andMµ the set ofµ-equivalent strictly positive probability densities -- In this paper we construct a Banach manifold on Mµ, modeled on the space L∞(p · µ) where p is a reference density, for the non-parametric q-exponential statistical models (Tsallis’s deformed exponential), where 0 < q < 1 is any real number -- This family is characterized by the fact that when q → 1, then the non-parametric exponential models are obtained and the manifold constructed by Pistone and Sempi is recovered, up to continuous embeddings on the modeling space -- The coordinate mappings of the manifold are given in terms of Csiszár’s Φ-divergences; the tangent vectors are identified with the one-dimensional q-exponential models and q-deformations of the score functionÍtem A Riemannian geometry in the q-Exponential Banach manifold induced by q-Divergences(Springer Berlin Heidelberg, 2013) Loaiza Ossa, Gabriel Ignacio; Quiceno Echavarría, Héctor Román; Universidad EAFIT. Escuela de Ciencias. Grupo de Investigación Análisis Funcional y Aplicaciones; Gabriel Loaiza (gloaiza@eafit.edu.co); Héctor R. Quiceno (hquiceno@eafit.edu.co); Análisis Funcional y AplicacionesFor the family of non-parametric q-exponential statistical models, in a former paper, written by the same authors, a differentiable Banach manifold modelled on Lebesgue spaces of real random variables has been built -- In this paper, the geometry induced on this manifold is characterized by q-divergence functionals -- This geometry turns out to be a generalization of the geometry given by Fisher information metric and Levi-Civita connections -- Moreover, the classical Amari´s α-connections appears as special case of the q−connections (q) -- The main result is the expected one, namely the zero curvature of the manifoldÍtem A Riemannian Geometry in the q-Exponential Banach Manifold Induced by q-Divergences(Springer Berlin Heidelberg, 2013) Loaiza Ossa, Gabriel Ignacio; Quiceno Echavarría, Héctor Román; Universidad EAFIT. Departamento de Ciencias; Análisis Funcional y AplicacionesFor the family of non-parametric q-exponential statistical models, in a former paper, written by the same authors, a differentiable Banach manifold modelled on Lebesgue spaces of real random variables has been built. In this paper, the geometry induced on this manifold is characterized by q-divergence functionals. This geometry turns out to be a generalization of the geometry given by Fisher information metric and Levi-Civita connections. Moreover, the classical Amari’s α-connections appears as special case of the q −connections ∇ (q). The main result is the expected one, namely the zero curvature of the manifold. Loading... Geometric Science of InformationGeometric Science of Information Look Inside Chapter Metrics Downloads1K Provided by Bookmetrix Other actions Export citation About this Book Reprints and Permissions Add to Papers Share Share this content on Facebook Share this content on Twitter Share this content on LinkedInÍtem Sobre simetrías de Lie para las ecuaciones de Emden-Fowler y Chazy(Universidad EAFIT, 2020) Acevedo Agudelo, Yeisson Alexis; Loaiza Ossa, Gabriel Ignacio; Londoño Duque, Oscar Mario; Loaiza Ossa, Gabriel Ignacio; Londoño Duque, Oscar Mario