Victor Pérez-Abreu

Publications on random matrices, eigenvalue processes and free infinite divisibility

Other publications

 

ˇ       On the capacity of block multiantenna channels, with Mario Díaz, IEEE Transactions on Information Theory, 63, 3, 5286-5298 (2017).

ˇ       On the universality of the non-singularity of general Ginibre and Wigner random matrices, with Paulo Manrique and Rahul Roy, Random Matrices: Theory and Applications, 5, no 1, 1-21 (2016).

ˇ       On the Free Fractional Wishart Process, with Juan Carlos Pardo and José Luis Pérez Garmendia, Journal of Functional Analysis, 272, 339-362 (2017).

ˇ       On the process of the eigenvalues of a Hermitian Lévy process, with Alfonso Rocha-Arteaga, The Fascination of Probability, Statistics and their Applications. Festschrift in Honour of Ole Barndorff-Nielsen. Springer, 231-249 (2016).

ˇ       A Random Matrix Approximation for the Non-commutative Fractional Brownian, with Juan Carlos Pardo and José Luis Pérez Garmendia, Journal of Theoretical Probability, 1581-1598 (2016).

ˇ       On the eigenvalue process of a matrix fractional Brownian motion, with David Nualart, Stochastic Processes and their Application, 124, 4286-4282 (2014).

ˇ       Infinitely divisible multivariate and matrix Gamma distributions, with Robert Stelzer, Journal of Multivariate Analysis, 130, 155-175, (2014).

ˇ       PCA and eigen-inference for a spiked covariance model with largest eigenvalues of same asymptotic order, with Addy Bolivar-Cimé, Brazilian Journal of Probability and Statistics 28, 255-274 (2014).

ˇ       Covariation representation for Hermitian Lévy process ensambles of free infinitely divisible distributions, with Armando Dominguez-Molina and Alfonso Rocha-Arteaga, Electronic Communications in Probability, 18, 1-14 (2013).

ˇ       A note on the two-dimensional operator Wishart and Laguerre processes, with Constantin Tudor, Mathematical Reports, Romanian Academy, 14, 297-306 (2012).

ˇ       Free infinite divisibility of free multiplicative mixtures of the Wigner distribution, with Sakuma Noriyoshi. Journal of Theoretical Probability 25, 100-121 (2012).

ˇ       On the non-classical infinite divisibility of power semicircle distributions, with Octavio Arizmendi. Communications on Stochastic Analysis 4, 161-178.  (2010).

ˇ       On free and classical type G distributions, with Octavio Arizmendi and Ole E. Barndorff-Nielsen. Brazilian Journal of Probability and Statistics 24, 106-127. (2010).

ˇ       On the traces of Laguerre Processes, with Constantín Tudor, Electronic Journal of Probability 14, 2241-2263 (2009).

ˇ       The S-transform for symmetric probability measures with unbounded supports, with Octavio Arizmendi, Proceedings of the American Mathematical Society 137, 3057-3066 (2009).

ˇ       Free Generalized Gamma Convolutions, with Sakuma Noriyoshi, Electronic Communications in Probability 13, 526-539 (2008).

ˇ       Functional Limit Theorems for traces in the Dyson-Brownian motion, with  Constantin Tudor, Communications on Stochastic Analysis 1, 415-428 (2007).

ˇ       Matrix subordinators and related Upsilon transformations, with Ole E. Barndorff-Nielsen, Theory of Probability and its Applications 52, 1-23 (2008).

ˇ       A class of random matrices with infinitely divisible determinants, with Mako Maejima, Statistics and Probability Letters 77, 166-168 (2007).

ˇ       Mat G random matrices, with Ole E. Barndorff-Nielsen & Poncho Rocha-Arteaga, Stochastic Models 22, 723-734 (2006).

ˇ       A random matrix model for the Gaussian distribution, Periodica Mathematica Hungarica 52, 47-65 (2006).