Essays about: "Elliptic functions"

Showing result 1 - 5 of 9 essays containing the words Elliptic functions.

  1. 1. Tug-of-War and the p-Laplace Equation : Exploring a Mathematical link between Game Theory and Nonlinear Elliptic PDE's

    University essay from Umeå universitet/Institutionen för matematik och matematisk statistik

    Author : Zackarias Chronéer; [2023]
    Keywords : p-Laplacian; tug-of-war;

    Abstract : In this report the connection between p-harmonic functions and the tug-of-war game is presented and some applications are mentioned. Moreover, sufficient background information of solutions to the p-Laplace equation is given. And to finish, an example of the game is given with simulations. . READ MORE

  3. 2. Exact eigenstates of the Inozemtsev spin chain

    University essay from KTH/Fysik

    Author : Simon Lentz; [2021]
    Keywords : Theoretical physics; Mathematical physics; quantum mechanics; many-body problems; spin chain; Inozemtsev; Calogero-Sutherland; Teoretisk fysik; Matematisk fysik; kvantmekanik; mångpartikel problem; spinnkedjor; Inozemtsev; Calogero-Sutherland;

    Abstract : This thesis deals with the following question: are there more eigenfunctions, other than the already known eigenfunctions, of the spin chain with elliptic interactions known as the Inozemtsev spin chain? The Inozemtsev spin chain interpolates between two quantum integrable spin chains, theHeisenberg spin chain and the Haldane-Shastry spin chain. Therefore it is interesting to explore eigenfunctions of the Inozemtsev spin chain in greater detail. READ MORE

  4. 3. Event Geometry and Anisotropic Flow in Proton-Proton Collisions

    University essay from Lunds universitet/Teoretisk partikelfysik - Geonomgår omorganisation

    Author : Johannes Holst; [2021]
    Keywords : high energy physics; particle physics; proton; collision; quark-gluon plasma; flow; anisotropy; anisotropic flow; elliptic flow; initial state; geometry; eccentricity; gaussian; cms; alice; lhc; Physics and Astronomy;

    Abstract : We seek to better understand the relationship between an anisotropic distribution of partons in the initial state of pp-collisions and the amount of elliptic flow. We do this through the implementation of a new model that is based in generating positions for multiparton interactions from the uneven volume created by the overlap of two Gaussians. READ MORE

  5. 4. On Pollard's rho method for solving the elliptic curve discrete logarithm problem

    University essay from Linnéuniversitetet/Institutionen för matematik (MA)

    Author : Jenny Falk; [2019]
    Keywords : elliptic curves; Pollard s rho method; elliptic curve discrete logarithm problem; cryptography; adding walk; mixed walk; cycle-detecting algorithm; iterating function; random walk;

    Abstract :     Cryptosystems based on elliptic curves are in wide-spread use, they are considered secure because of the difficulty to solve the elliptic curve discrete logarithm problem. Pollard's rho method is regarded as the best method for attacking the logarithm problem to date, yet it is still not efficient enough to break an elliptic curve cryptosystem. READ MORE

  6. 5. Solving an inverse problem for an elliptic equation using a Fourier-sine series.

    University essay from Linköpings universitet/Matematiska institutionen

    Author : Olivia Linder; [2019]
    Keywords : Regularization; ill-posed problem; Fourier-sine series; Regularisering; illaställt problem; Fouriersinusserie;

    Abstract : This work is about solving an inverse problem for an elliptic equation. An inverse problem is often ill-posed, which means that a small measurement error in data can yield a vigorously perturbed solution. Regularization is a way to make an ill-posed problem well-posed and thus solvable. READ MORE