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1. Asymptotics of beta-Hermite Ensembles
Kandidat-uppsats, Linköpings universitet/Matematisk statistik; Linköpings universitet/Tekniska fakultetenSammanfattning : In this thesis we present results about some eigenvalue statistics of the beta-Hermite ensembles, both in the classical cases corresponding to beta = 1, 2, 4, that is the Gaussian orthogonal ensemble (consisting of real symmetric matrices), the Gaussian unitary ensemble (consisting of complex Hermitian matrices) and the Gaussian symplectic ensembles (consisting of quaternionic self-dual matrices) respectively. We also look at the less explored general beta-Hermite ensembles (consisting of real tridiagonal symmetric matrices). LÄS MER