Sökning: "spectral graph theory"

Visar resultat 1 - 5 av 7 avhandlingar innehållade orden spectral graph theory.

  1. 1. Spectral graph theory on Pre-fractals

    Författare :Konstantinos Tsougkas; Anders Karlsson; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Fractals;

    Sammanfattning : .... LÄS MER

  3. 2. Inverse Problems for Graph Laplacians

    Författare :Marlena Nowaczyk; Matematik LTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Spectral theory; Laplace operator; Trace formula; Quantum graphs;

    Sammanfattning : This thesis is devoted to inverse spectral problems for Laplace operators on metric graphs, and it is based on the following papers: Paper I - P. Kurasov and M. Nowaczyk 2005 Inverse spectral problem for quantum graphs J. Phys. LÄS MER

  4. 3. Spectral estimates and Ambartsumian-type theorems for quantum graphs

    Författare :Rune Suhr; Pavel Kurasov; Annemarie Luger; Alexei Rybkin; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Spectral estimates; quantum graphs; Ambartsumian; trigonometric polynomials; Mathematics; matematik;

    Sammanfattning : This thesis consists of four papers and deals with the spectral theory of quantum graphs. A quantum graph is a metric graph equipped with a self-adjoint Schrödinger operator acting on functions defined on the edges of the graph subject to certain vertex conditions. LÄS MER

  5. 4. Extremal eigenvalues and geometry of quantum graphs

    Författare :Andrea Serio; Pavel Kurasov; Annemarie Luger; Evans Harrell; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; quantum graphs; spectral estimates; trace formula; Euler characteristic; Mathematics; matematik;

    Sammanfattning : This thesis consists of four papers concerning topics in the spectral theory of quantum graphs, which are differential operators on metric graphs.In paper I we present a family of graphs with an arbitrary number of cycles for which a certain eigenvalue upper estimate is sharp. LÄS MER

  7. 5. Combinatorial and analytical problems for fractals and their graph approximations

    Författare :Konstantinos Tsougkas; Anders Karlsson; Anders Öberg; Ben Hambly; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Fractal graphs; energy Laplacian; Kusuoka measure; Mathematics; Matematik;

    Sammanfattning : The recent field of analysis on fractals has been studied under a probabilistic and analytic point of view. In this present work, we will focus on the analytic part developed by Kigami. The fractals we will be studying are finitely ramified self-similar sets, with emphasis on the post-critically finite ones. LÄS MER