Essays about: "Spectral theory"

Showing result 1 - 5 of 78 essays containing the words Spectral theory.

  1. 1. Oscillations in a complex sunspot: From theory to data

    University essay from Luleå tekniska universitet/Institutionen för system- och rymdteknik

    Author : Femke Kranenbarg; [2024]
    Keywords : ;

    Abstract : Sunspot oscillations, intricate three-dimensional wave-like motions in the solar atmosphere, result from the complex interplay between plasma and magnetic fields. This study delves into the behaviour of these oscillations, exploring their simultaneous excitation and evaluating their impact on solar phenomena like coronal heating, energy transport, and solar flares. READ MORE

  3. 2. Metric Methods in Ergodic Theory

    University essay from Uppsala universitet/Dynamiska system och talteori

    Author : Erik Avelin; [2023]
    Keywords : Ergodic theory; Metric functionals;

    Abstract : This bachelor's thesis discusses from an ergodic-theoretical perspective the "metric functional analysis" that Anders Karlsson and others have developed in the recent years. We introduce a new symbolic calculus for metric functionals which includes a notion of the adjoint of a nonexpansive map. READ MORE

  4. 3. Perron-Frobenius' Theory and Applications

    University essay from Linköpings universitet/Algebra, geometri och diskret matematik; Linköpings universitet/Tekniska fakulteten

    Author : Karl Eriksson; [2023]
    Keywords : Positive matrices; nonnegative matrices; Perron-Frobenius; linear dynamical systems; Leslie matrices; Markov chain; Google s PageRank algorithm; Positiva matriser; icke-negativa matriser; Perron-Frobenius; linjära dynamiska system; Leslie matris; Markov-kedja; Google s PageRank algoritm;

    Abstract : This is a literature study, in linear algebra, about positive and nonnegative matrices and their special properties. We say that a matrix or a vector is positive/nonnegative if all of its entries are positive/nonnegative. First, we study some generalities and become acquainted with two types of nonnegative matrices; irreducible and reducible. READ MORE

  5. 4. Cospectral graphs : What properties are determined by the spectrum of a graph?

    University essay from Uppsala universitet/Sannolikhetsteori och kombinatorik

    Author : Erik Sundström; [2023]
    Keywords : graph theory; graph; graphs; spectral graph theory; cospectral graphs; adjacency matrix; adjacency matrices; graph spectrum; spectrum; graph spectra; spectra;

    Abstract : This paper was written as a bachelor thesis in mathematics. We study adjacency matrices and their eigenvalues to investigate what properties of the corresponding graphs can be determined by those eigenvalues, the spectrum of the graph. The question of which graphs are uniquely determined by their spectra is also covered. READ MORE

  6. 5. Atomic Structure Calculations Using Configuration-Interaction And Many-Body Perturbation Theory For Spectral Modelling Of Neutron Star Mergers : Example Of Ce I - Iv

    University essay from Uppsala universitet/Teoretisk fysik

    Author : Fredrik Plane; [2023]
    Keywords : Computational atomic physics; Atomic physics; Physics; Astronomy; Astrophysics; Neutron stars; Stars; Relativisitc atomic physics; Configuration-interaction; Perturbation theory; Many-body perturbation theory;

    Abstract : The binary neutron star merger of 2017 and its corresponding electromagnetic signature resembling that of a kilonova has been one of the most groundbreaking astrophysical occurrences in the last decade. Indications of r-process nucleosynthesis in this event presents new opportunities for learning about the astrophysical origin of heavy elements. READ MORE