Sökning: "Sturm sequence"

Hittade 1 uppsats innehållade orden Sturm sequence.

  1. 1. Asymptotics of beta-Hermite Ensembles

    Kandidat-uppsats, Linköpings universitet/Matematisk statistik; Linköpings universitet/Tekniska fakulteten

    Författare :Filip Berglund; [2020]
    Nyckelord :beta-Hermite ensembles; Gaussian ensembles; empirical distribution function; level density; largest eigenvalue; order statistic; Sturm sequence; Hermite polynomials; beta-Hermite ensemblerna; gaussiska ensemblerna; empiriska fördelningsfunktionen; nivåtäthet; största egenvärdet; ordningsstatiska; Sturmföljder; Hermitepolynom;

    Sammanfattning : 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