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In this case, Bessel functions of index α = p 2 − 1 come in as the radial parts of the complex exponential functions, and estimate ( 1 ) leads to limit theorems for radial
Structured matrices, Matrix groups, Givens rotations, Householder reflections, Complex orthogonal, Symplectic, Complex symplectic, Conjugate symplectic, Real
Key words: Random matrices, eigenvalues, Laguerre ensemble, Wishart ensemble, bulk scaling limit.. AMS 2000 Subject Classification: Primary 60B20; Secondary:
This article contains an investigation of simple random walks on Galton-Watson trees conditioned to survive, and we will start by introducing some relevant branching process and
Under the same conditions the finite dimensional distributions of the repeat times converge to the arrival times of suitably modified Poisson processes, and random trees derived
This result implies almost sure convergence of empirical periodograms, almost sure convergence of spectral distribution of circulant and reverse circulant matrices, and almost
Zeitouni, Limit theorems for one- dimensional transient random walks in Markov environments, to appear in Ann. Solomon, Random walks in random
For large random matrices similar to those considered here, concentration of the spectral measure was also studied by Guionnet and Zeitouni [ 9 ] , who considered Wishart matrices X ′
