Sökning: "weak topology"

Visar resultat 1 - 5 av 10 uppsatser innehållade orden weak topology.

  1. 1. An operator theoretic approach to the Riemann Hypothesis

    Master-uppsats, Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

    Författare :Ramon Arjan van de Scheur; [2023]
    Nyckelord :Riemann hypothesis; Prime number theorem; Prime number theorem for arithmetic progressions; operator theoretic equivalent; compact operator; prime-counting function; Chebyshev function; Laplace transform; Fourier transform; convolution operator; weak topology; strong topology; compact perturbation; Tauberian theorem; Poisson kernel; holomorphic; self-adjoint; spectrum; trace; Mathematics and Statistics;

    Sammanfattning : In 2023 an operator theoretic approach to the Prime Number Theorem was introduced by Olsen. In this thesis this approach is examined and applied to give a new, operator theoretic, proof of a different version of the Prime Number Theorem and of the Prime Number Theorem for arithmetic progressions. LÄS MER

  2. 2. Signatures of topological phases in an open Kitaev chain

    Master-uppsats, KTH/Fysik

    Författare :Natalia Ermakova; [2021]
    Nyckelord :Kitaev chain; open quantum systems; Lindblad equation; topological quantum matter;

    Sammanfattning : Some physical systems exhibit topological properties in the form of topological invariants— features of the system that remain constant unless the system undergoessignificant changes i.e. changes that require closing the energy gap of the Hamiltonian.This work studies one example of a system with topological properties — a Kitaevchain. LÄS MER

  3. 3. Identifying Power Quality Issues in LV Distribution Grid by Using Data from Smart Meters : Exploring possibilities of machine learning algorithms

    Master-uppsats, KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Författare :Samantha Chen; [2020]
    Nyckelord :;

    Sammanfattning : Since there is a significant potential to supervise the low voltage network with the assistance of the end-customer smart meters, Vattenfall Eldistribution AB wants to take advantage of such data. Therefore, this project’s overall goal is to investigate how some specific grid disturbances could be detected in certain meter data types. LÄS MER

  4. 4. CitySki - Analys av koppling i en delbar längdskida

    Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)

    Författare :Louise Lindström; Marcus Ekström; [2019]
    Nyckelord :;

    Sammanfattning : Den delbara längdskidan är en innovation ifrån Cityski, för att underlätta utövning i stadsmiljö. Skidan hålls ihop av en koppling i kompositmaterial bestående av kon i hylsa som spänns fast med ett lås. LÄS MER

  5. 5. On using a zero lower bound on the physical density in Material DistributionTopology Optimization

    Master-uppsats, Umeå universitet/Institutionen för datavetenskap

    Författare :Quoc Khanh Nguyen; [2018]
    Nyckelord :;

    Sammanfattning : Material distribution topology optimization methods aim to place optimally material within a given domain or space. These methos use a socalled material indicator function r to determine for each point within the design domain whether it contains material (r 1) or void (r 0). LÄS MER