Matrices aléatoires : statistique asymptotique des valeurs propres
Matrix-Variate Statistical Distributions and Fractional Calculus
MSC 2010: 15A15, 15A52, 33C60, 33E12, 44A20, 62E15 Dedicated to Professor R. Gorenflo on the occasion of his 80th birthdayA connection between fractional calculus and statistical distribution theory has been established by the authors recently. Some extensions of the results to matrix-variate functions were also considered. In the present article, more results on matrix-variate statistical densities and their connections to fractional calculus will be established. When considering solutions of fractional...
Moderate deviations for the spectral measure of certain random matrices
Moderate deviations for traces of words in a mult-matrix model.
Moderate deviations in a random graph and for the spectrum of Bernoulli random matrices.
Moments of characteristic polynomials enumerate two-rowed lexicographic arrays.
Multiplication of free random variables and the -transform: the case of vanishing mean.
Multiscale analysis of wave propagation in random media. Application to correlation-based imaging
We consider sensor array imaging with the purpose to image reflectors embedded in a medium. Array imaging consists in two steps. In the first step waves emitted by an array of sources probe the medium to be imaged and are recorded by an array of receivers. In the second step the recorded signals are processed to form an image of the medium. Array imaging in a scattering medium is limited because coherent signals recorded at the receiver array and coming from a reflector to be imaged are weak and...
Multivariable Christoffel-Darboux kernels and characteristic polynomials of random hermitian matrices.