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pro vyhledávání: '"Gabriel H. Tucci"'
Autor:
Gabriel H. Tucci, Maria V. Vega
Publikováno v:
Journal of Probability and Statistics, Vol 2013 (2013)
We find a new formula for matrix averages over the Gaussian ensemble. Let H be an n×n Gaussian random matrix with complex, independent, and identically distributed entries of zero mean and unit variance. Given an n×n positive definite matrix A and
Externí odkaz:
https://doaj.org/article/2c4c8f516bb14199aa211f381beddae7
Autor:
Gabriel H. Tucci, M. Valentina Vega
Publikováno v:
The Journal of Investment Strategies. 5:57-74
Publikováno v:
Internet Mathematics. 11:277-288
In this work we prove that the giant component of the Erdos–Renyi random graph G(n, c/n) for c a constant greater than 1 (sparse regime), is not Gromov δ–hyperbolic for any δ with probability tending to one as n → ∞. We present numerical ev
Autor:
Gabriel H. Tucci, Shi Li
Publikováno v:
Internet Mathematics. 11:134-142
In this article we define the notion of (p, δ)–Gromov hyperbolic space where we relax the Gromov slimness condition to allow that not all, but a positive fraction of all triangles, are δ–slim. Furthermore, we study their traffic congestion unde
Autor:
Gabriel H. Tucci, Philip Whiting
Publikováno v:
Journal of Theoretical Probability. 27:826-862
This study examines various statistical distributions in connection with random Vandermonde matrices and their extension to $$d$$ -dimensional phase distributions. Upper and lower bound asymptotics for the maximum singular value are found to be $$O(\
Autor:
Gabriel H. Tucci, Philip Whiting
Publikováno v:
IEEE Transactions on Information Theory. 57:3938-3954
This paper centers on the limit eigenvalue distribution for random Vandermonde matrices with unit magnitude complex entries. The phases of the entries are chosen independently and identically distributed from the interval [-π,π] . Various types of
Autor:
Gabriel H. Tucci
Publikováno v:
Indiana University Mathematics Journal. 59:1-14
Let $\{T_{k}\}_{k=1}^{\infty}$ be a family of *--free identically distributed operators in a finite von Neumann algebra. In this work we prove a multiplicative version of the free central limit Theorem. More precisely, let $B_{n}=T_{1}^{*}T_{2}^{*}..
Autor:
Gabriel H. Tucci
Publikováno v:
Journal of Functional Analysis. 254:2969-2994
For each sequence {cn}n in l1(N) we define an operator A in the hyperfinite II1-factor R. We prove that these operators are quasinilpotent and they generate the whole hyperfinite II1-factor. We show that they have non-trivial, closed, invariant subsp
Autor:
Gabriel H. Tucci, Ken Dykema
Publikováno v:
International Journal of Mathematics. 18:613-631
We find the microstates free entropy dimension of all in a large class of L∞[0,1]-circular operators, in the presence of a generator of the diagonal subalgebra.
Autor:
Maria V. Vega, Gabriel H. Tucci
Publikováno v:
Journal of Probability and Statistics, Vol 2013 (2013)
In this work we find a new formula for matrix averages over the Gaussian ensemble. Let ${\bf H}$ be an $n\times n$ Gaussian random matrix with complex, independent, and identically distributed entries of zero mean and unit variance. Given an $n\times