Search for dissertations about: "Pure mathematics"

Showing result 1 - 5 of 34 swedish dissertations containing the words Pure mathematics.

  2. 1. Minimal models in algebra, combinatorics and topology

    Author : Alexander Berglund; Torsten Ekedahl; Alexandru Suciu; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    Abstract : The thesis consists of seven papers.In Paper I, II, III, IV and V, we study homological invariants of monomial rings — rings of the form R = k[x1, . . . READ MORE

  4. 2. On random satisfiability and optimization problems

    Author : Joel Larsson; Klas Markström; Roland Häggkvist; Victor Falgas Ravry; Stefanie Gerke; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Random graphs; k-SAT; satisfiability; coupon collector; random cover time; threshold phenomenon; concentration of measure; combinatorial probability; perfect matching; assignment problem; local graph limit; mean-field; Mathematics; matematik;

    Abstract : In Paper I, we study the following optimization problem: in the complete bipartite graph where edges are given i.i.d. weights of pseudo-dimension q>0, find a perfect matching with minimal total weight. READ MORE

  5. 3. A Differentiable Approach to Stochastic Differential Equations : the Smoluchowski Limit Revisited

    Author : Haidar Al-Talibi; Astrid Hilbert; Yaozhong Hu; Linnéuniversitetet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; α-stable Lévy noise; Fractional Brownian motion; Girsanov theorem; Mean-field model; Nonlinear stochastic oscillator; Ornstein-Uhlenbeck process; Scaling limit; Second order Itô equation; Time change.; Matematik; Mathematics;

    Abstract : In this thesis we generalize results by Smoluchowski [43], Chandrasekhar[6], Kramers, and Nelson [30]. Their aim is to construct Brownian motion as a limit of stochastic processes with differentiable sample paths by exploiting a scaling limit which is a particular type of averaging studied by Papanicolao [35]. READ MORE

  6. 4. Invariancy Methods for Points, Curves and Surfaces in Computational Vision

    Author : Karl Åström; Matematik LTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; curved surface; space curve; planar curve; laser guided vehicles; AGV; autonomous guided vehicles; recognition; reconstruction; image sequence; multiple view geometry; affine; invariant; projective; Mathematics; Matematik;

    Abstract : Many issues in computational vision can be understood from the interplay between camera geometry and the structure of images and objects. Typically, the image structure is available and the goal is to reconstruct object structure and camera geometry. This is often difficult due to the complex interdependence between these three entities. READ MORE

  7. 5. Obstacle Problems for Green Potentials and for Parabolic Quasiminima

    Author : Catarina Petersson; Matematik (naturvetenskapliga fakulteten); []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Functions; differential equations; Funktioner; differentialekvationer; Matematik; degenerate parabolic operators; Mathematics; quasiminima; obstacle problems; Green potentials;

    Abstract : The thesis consists of two parts. In the first part pure potential theoretic methods are employed to study the obstacle problem connected with a uniformly elliptic second-order differential operator in divergence form. Regular points of the obstacles are characterized by the classical Wiener criterion. READ MORE