Sökning: "infinitesimal"

Visar resultat 1 - 5 av 21 avhandlingar innehållade ordet infinitesimal.

  1. 1. Matematikens utveckling i Sverige fram till 1731

    Författare :Staffan Rodhe; Hans Wallin; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; MATEMATIK; Swedenborg; Polhem; Duhre; Klingenstierna; svensk matematikhistoria; serier; oändligt lilla; infinitesimal; oändlighet; kalkyl; Bernoulli; professor; Uppsala; differential; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

    Sammanfattning : This thesis contains two parts:In the first papers I consider the development of mathematics up till around 1720. I have done a special study of the period between 1710 and 1720, when you could find three Swedes writing about contemporary mathematics, Christopher Polhem, Emanuel Swedenborg and Anders Gabriel Duhre. LÄS MER

  3. 2. Some Markov Processes in Finance and Kinetics : Markov Processes

    Författare :Mattias Sunden; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; CGMY process; Collision kernel; Direct simulation Monte Carlo; Diffusion approximation; Extreme value theory; Feller process; Generalized hyperbolic process; Generalized $z$-process; Infinitesimal generator; Laplace-Beltrami operator; L evy Processes; Long-tailed distribution; Kac equation; Kac model; Markov process; Semigroup; Semi-heavy tailed distirbution; Spectral gap; Subexponential distibrution; Superexponential distribution; Tauberian theorem; Thermostat.; Diffusion approximation;

    Sammanfattning : This thesis consists of four papers. The first two papers treat extremes for L\'evy processes, while papers three and four treat the Kac model with unbounded collision kernel. LÄS MER

  4. 3. Coherent functors and asymptotic properties

    Författare :Adson Banda; Leif Melkersson; Milagros Izquierdo; Peter Schenzel; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : In this thesis we study properties of the so called coherent functors. Coherent functors were first introduced by Auslander in 1966 in a general setting. LÄS MER

  5. 4. Stretched Membranes

    Författare :Jonas Björnsson; Stephen Hwang; Jürgen Fuchs; Anders Westerberg; Ulf Lindström; Karlstads universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Physics; Fysik; Physics; Fysik;

    Sammanfattning : This thesis deals with relativistic membranes and, in particular, a limit called stretched membranes. The thesis also considers the relation of membranes to the conjectured M-theory and string theory. The thesis is divided into two parts. One introductory part where I introduce areas which are of relevance for the second part. LÄS MER

  7. 5. Four applications of stochastic processes : Contagious disease, credit risk, gambling and bond portfolios

    Författare :Patrik Andersson; Andreas Nordvall Lagerås; Håkan Andersson; Stewart N. Ethier; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Stochastic processes; Mathematical statistics; Matematisk statistik; Mathematical Statistics; matematisk statistik;

    Sammanfattning : This thesis consists of four papers on applications of stochastic processes. In Paper I we study an open population SIS (Susceptible - Infective - Susceptible) stochastic epidemic model from the time of introduction of the disease, through a possible outbreak and to extinction. The analysis uses coupling arguments and diffusion approximations. LÄS MER