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Browsing by Author "Jiménez Gómez, Carlos Hugo"              

Now showing items 1-7 of 7

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      An Lp-Functional Busemann–Petty Centroid Inequality 

      Haddad, Julian Eduardo; Jiménez Gómez, Carlos Hugo; da Silva, Leticia A. (Oxford Academic, 2020-01-23)
      For a convex body K⊂Rn ⁠, let ΓpK be its Lp -centroid body. The Lp -Busemann–Petty centroid inequality states that ...
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      Brunn-Minkowski and Zhang inequalities for convolution bodies 

      Alonso Gutiérrez, David; Jiménez Gómez, Carlos Hugo; Villa Caro, Rafael (Elsevier, 2013-05-01)
      A quantitative version of Minkowski sum, extending the definition of θ-convolution of convex bodies, is studied to obtain ...
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      Characterization of dual mixed volumes via polymeasures 

      Jiménez Gómez, Carlos Hugo; Villanueva Díez, Ignacio (Elsevier, 2015-06-15)
      We prove a characterization of the dual mixed volume in terms of functional properties of the polynomial associated to it. ...
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      John's ellipsoid and the integral ratio of a log-concave function 

      Alonso Gutiérrez, David; González Merino, Bernardo; Jiménez Gómez, Carlos Hugo; Villa Caro, Rafael (Springer, 2018-04)
      We extend the notion of John’s ellipsoid to the setting of integrable log-concave functions. This will allow us to define ...
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      Sampling quantum nonlocal correlations with high probability 

      González Guillén, Carlos Eduardo; Jiménez Gómez, Carlos Hugo; Palazuelos Cabezón, Carlos; Villanueva Díez, Ignacio (Springer, 2016-05)
      It is well known that quantum correlations for bipartite dichotomic measurements are those of the form γ=(⟨ui,vj⟩)ni,j=1, ...
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      Sharp affine Sobolev type inequalities via the Lp Busemann–Petty centroid inequality 

      Haddad, Julian; Jiménez Gómez, Carlos Hugo; Da Silva Montenegro, Marcos (Elsevier, 2016-07-15)
      We show that the Lp Busemann-Petty centroid inequality provides an elementary and powerful tool to the study of some sharp ...
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      Volume inequalities for the i-th-convolution bodies 

      Alonso Gutiérrez, David; González Merino, Bernardo; Jiménez Gómez, Carlos Hugo (Elsevier, 2015-04-01)
      We obtain a new extension of Rogers-Sephard inequality providing an upper bound for the volume of the sum of two convex ...