7 papers
On the volume ratio of projections of convex bodies
Daniel Galicer, Alexander E. Litvak, Mariano Merzbacher +1
We study the volume ratio between projections of two convex bodies. Given a high-dimensional convex body we show that there is another convex body such that the volume rati…
Orthant probabilities and the attainment of maxima on a vertex of a simplex
Damián Pinasco, Ezequiel Smucler, Ignacio Zalduendo
We calculate bounds for orthant probabilities for the equicorrelated multivariate normal distribution and use these bounds to show the following: for degree , the probability…
Asymptotic estimates for the largest volume ratio of a convex body
Daniel Galicer, Mariano Merzbacher, Damián Pinasco
The largest volume ratio of given convex body is defined as $$\mbox{lvr}(K):= \sup_{L \subset \mathbb{R}^n} \mbox{vr}(K,L),$$ where the runs over al…
On the linear polarization constants of finite dimensional spaces
Daniel Carando, Damián Pinasco, Jorge Tomás Rodríguez
We study the linear polarization constants of finite dimensional Banach spaces. We obtain the correct asymptotic behaviour of these constants for the spaces : they behave…
Hypercyclic behavior of some non-convolution operators on
Santiago Muro, Damián Pinasco, Martín Savransky
We study hypercyclicity properties of a family of non-convolution operators defined on spaces of holomorphic functions on . These operators are a composition of a dif…
An integral formula for multiple summing norms of operators
Daniel Carando, Verónica Dimant, Santiago Muro +1
We prove that the multiple summing norm of multilinear operators defined on some -dimensional real or complex vector spaces with the -norm may be written as an integral with…