Sökning: "Alexander Koronen"

Hittade 2 uppsatser innehållade orden Alexander Koronen.

  1. 1. Mean and variance of absorption time in a population genetics model: Comparison between Markov chain and diffusion process methods.

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

    Författare :Alexander Koronen; [2019]
    Nyckelord :Population genetics; Markov chain; Diffusion process.; Mathematics and Statistics;

    Sammanfattning : Finding the expected number of generations it takes before every individual in a population (of constant size) only has one type of gene at a particular locus of a chromosome, can be formulated as computing the mean absorption time in a Markov chain. However, the Markov chain approach is inappropriate when the population is large. LÄS MER

  3. 2. Some Nonlinear Diophantine Equations

    Kandidat-uppsats, Lunds universitet/Matematik (naturvetenskapliga fakulteten)

    Författare :Alexander Koronen; [2017]
    Nyckelord :Diophantine Equations; Congruences; Euclidean Domains; Mathematics and Statistics;

    Sammanfattning : This thesis deals with some special types of Diophantine equations. Two classic cases of Fermat's equation are shown to have no nontrivial integer solutions, using two different approaches. The rest of the thesis deals with some instances of y^2=x^3+k, commonly known as Mordell's equation. In most cases, no integer solutions exist. LÄS MER