Listar MAT_Articles por autoría "05c08a4a-21ca-49eb-b51b-08cfd4adfbc7"
Mostrando ítems 1-6 de 6
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Brunn-Minkowski and Zhang inequalities for Convolution Bodies
Elsevier (2013-05-01)A quantitative version of Minkowski sum, extending the definition of θ- convolution of convex bodies, is studied to obtain extensions of the Brunn- Minkowski and Zhang inequalities, as well as, other interesting properties ... -
Estimating Support Functions of Random Polytopes via Orlicz Norms
Springer-Verlag (2013)We study the expected value of support functions of random polytopes in a certain direction, where the random polytope is given by independent random vectors uniformly distributed in an isotropic convex body. All results ... -
On a reverse Petty projection inequality for projections of convex bodies
De Gruyter (2014-03)We prove a reverse Petty projection inequality which is satisfied by every convex body K. We also study given a convex body K estimates for the dimension k such that there exists a k-dimensional orthogonal projection of K ...
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On mean outer radii of random polytopes
Indiana University Mathematics Journal (2014)In this paper we introduce a new sequence of quantities for random polytopes. Let KN = conv{X1, . . . ,XN} be a random polytope generated by independent random vectors uniformly distributed in an isotropic convex body K ...
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On the Isotropic Constant of Random Polytopes
Springer Verlag (2015-01)Let X1,…,XN be independent random vectors uniformly distributed on an isotropic convex body K ⊂ Rn, and let KN be the symmetric convex hull of Xi’s. We show that with high probability LKN ≤ C√log(2N/n), where C is an ...
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Volume inequalities for the i-th-convolution bodies
Elsevier (2015-04)We obtain a new extension of Rogers–Shephard inequality providing an upper bound for the volume of the sum of two convex bodies K and L. We also give lower bounds for the volume of the k-th limiting convolution body of two ...
