NameJiménez Gómez, Carlos Hugo
DepartmentAnálisis Matemático
Knowledge areaAnálisis Matemático
Professional categoryProfesor Titular de Universidad
E-mailRequest
         
  • No. publications

    7

  • No. visits

    762

  • No. downloads

    960


 

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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)
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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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)
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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Sharp affine Sobolev type inequalities via the Lp Busemann–Petty centroid inequality

Haddad, Julian; Jiménez Gómez, Carlos Hugo; Da Silva Montenegro, Marcos (Elsevier, 2016)
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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Sampling quantum nonlocal correlations with high probability

González Guillén, Carlos Eduardo; Jiménez Gómez, Carlos Hugo; Palazuelos Cabezón, Carlos; Villanueva Díez, Ignacio (Springer, 2016)
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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Characterization of dual mixed volumes via polymeasures

Jiménez Gómez, Carlos Hugo; Villanueva Díez, Ignacio (Elsevier, 2015)
We prove a characterization of the dual mixed volume in terms of functional properties of the polynomial associated to it. ...
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Volume inequalities for the i-th-convolution bodies

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

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