Essays about: "Poisson kernel"

Found 4 essays containing the words Poisson kernel.

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

    University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

    Author : Ramon Arjan van de Scheur; [2023]
    Keywords : 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;

    Abstract : 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. READ MORE

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

    University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)

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

    Abstract : 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. READ MORE

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

    University essay from Uppsala universitet/Sannolikhetsteori och kombinatorik

    Author : Isak Dahlqvist; [2022]
    Keywords : ;

    Abstract : 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. READ MORE

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

    University essay from SLU/Dept. of Wildlife, Fish and Environmental Studies

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

    Abstract : 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. READ MORE