Sökning: "Poisson kernel"

Hittade 4 uppsatser innehållade orden Poisson kernel.

  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. Towards an Efficient Spectral Element Solver for Poisson’s Equation on Heterogeneous Platforms

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

    Författare :Jonas Nylund; [2022]
    Nyckelord :Neko; CUDA; Heterogeneous hardware; GPU; Gather-Scatter; HPC; CFD; Neko; CUDA; Heterogena plattformar; GPU; Gather-Scatter; Högprestandabe-räkningar; Beräkningsströmningsdynamik;

    Sammanfattning : Neko is a project at KTH to refactor the widely used fluid dynamics solver Nek5000 to support modern hardware. Many aspects of the solver need adapting for use on GPUs, and one such part is the main communication kernel, the Gather-Scatter (GS) routine. To avoid race conditions in the kernel, atomic operations are used, which can be inefficient. LÄS MER

  3. 3. The self-exciting Hawkes processand dynamic contagion

    Master-uppsats, Uppsala universitet/Sannolikhetsteori och kombinatorik

    Författare :Isak Dahlqvist; [2022]
    Nyckelord :;

    Sammanfattning : We introduce the necessary theory to construct self-exciting processes, particularly random and Poisson measures. Our goal is to show how to work with and analyze self-exciting processes. We consider a Hawkes process with the exponential kernel, a counting process with an intensity that depends on the process itself. LÄS MER

  4. 4. Habitat selection in moose and roe deer : a third order comparison

    Master-uppsats, SLU/Dept. of Wildlife, Fish and Environmental Studies

    Författare :Irene Hjort; [2019]
    Nyckelord :gps; camera trapping; habitat selection; order of selection; Alces alces; Capreolus capreolus; brownian bridge kernel method;

    Sammanfattning : Ungulates are important animals in Swedish culture and economy, yet they are considered to cause considerable damage on forests to the disadvantage for the forest industry. At the same time, the forest industry is one of the reasons for the increased carrying capacity of moose and roe deer. LÄS MER