Sökning: "Spektralteori"

Hittade 1 uppsats innehållade ordet Spektralteori.

  1. 1. Properties of Discrete Laplacians With Application on Brain Networks

    Master-uppsats, KTH/Matematisk statistik

    Författare :David Thinsz; [2022]
    Nyckelord :Graph Laplacian; Combinatorial Laplacian; Persistent Laplacian; Topological data analysis; Spectral theory; Homology; Clustering.; Graf-Laplacian; Kombinatorisk Laplacian; Beständig Laplacian; Topologisk dataanalys; Spektralteori; Homologi; Klustring.;

    Sammanfattning : This thesis investigates three discrete Laplace operators: the graph Laplacian, combinatorial Laplacian, and the more recently introduced persistent Laplacian. We discuss how these operators relate to each other and study their spectral properties. The graph Laplacian is a well-studied operator that plays a central role in spectral graph theory. LÄS MER