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math.PR2018
Collision of eigenvalues for matrix-valued processes
Arturo Jaramillo, David Nualart
We examine the probability that at least two eigenvalues of an Hermitian matrix-valued Gaussian process, collide. In particular, we determine sharp conditions under which such prob…
math.PR2018
Convergence of the empirical spectral distribution of Gaussian matrix-valued processes
Arturo Jaramillo, Juan Carlos Pardo, José Luis Pérez
For a given normalized Gaussian symmetric matrix-valued process , we consider the process of its eigenvalues as well a…