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Artículo
Sampling quantum nonlocal correlations with high probability
(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, where the vectors ui and vj are in the unit ball of a real Hilbert space. In this work we study the ...
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Artículo
Sharp affine Sobolev type inequalities via the Lp Busemann–Petty centroid inequality
(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 affine functional inequalities with a geometric content, like log-Sobolev, Sobolev and Gagliardo-Nirenberg ...
Artículo
Rate of growth of hypercyclic and frequently hypercyclic functions for the Dunkl operator
(Springer, 2016)
For the Dunkl operator Λα (α > −1/2) on the space of entire functions on the complex space C, the critical rate of growth for the integral means Mp(f, r) of their hypercyclic functions f is obtained. The rate of growth of ...
Artículo
What do 'convexities' imply on Hadamard manifolds?
(Springer, 2016-09)
Various results based on some convexity assumptions (involving the exponential map along with affine maps, geodesics and convex hulls) have been recently established on Hadamard manifolds. In this paper we prove that these ...