3 citations · 3 across the 2 of their papers we have counts for
4 papers
Angle Distributions for Intersecting Random Segments in Star-Shaped Planar Domains
Paulo Manrique
Let be a bounded planar set that is star-shaped with respect to the origin, and let be independent random points uniformly distributed on . We c…
The condition number of a random banded Toeplitz matrix is typically large
Paulo Manrique
It is well known that square matrices with independent and identically distributed (iid) random entries are typically well conditioned. A natural question is whether this favorable…
Salem-Zygmund Inequality for locally sub-Gaussian random variables, random trigonometric polynomials, and random circulant matrices
Gerardo Barrera, Paulo Manrique
In this manuscript we give an extension of the classic Salem--Zygmund inequality for locally sub-Gaussian random variables. As an application, the concentration of the roots of a K…
On the Universality of the Non-singularity of General Ginibre and Wigner Random Matrices
Paulo Manrique, Victor Pérez-Abreu, Rahul Roy
We prove the universal asymptotically almost sure non-singularity of general Ginibre and Wigner ensembles of random matrices when the distribution of the entries are independent bu…