Sökning: "geometry and mathematical analysis Mathematical logic"

Visar resultat 1 - 5 av 13 avhandlingar innehållade orden geometry and mathematical analysis Mathematical logic.

  1. 1. Real and complex Monge-Ampère equations, statistical mechanics and canonical metrics

    Detta är en avhandling från Göteborg : Chalmers tekniska högskola

    Författare :Jakob Hultgren; Göteborgs universitet.; Gothenburg University.; [2018]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Statistical Mechanics; Point Processes; Hessian manifolds; Kähler geometry; Optimal Transport; Canonical metrics; Complex Monge-Ampère equations; Real Monge-Ampère equations; Kähler-Einstein metrics; Point Processes; Hessian manifolds; Kähler geometry; Optimal Transport; Canonical metrics; Complex Monge-Ampère equations; Real Monge-Ampère equations; Kähler-Einstein metrics;

    Sammanfattning : Recent decades has seen a strong trend in complex geometry to study canonical metrics and the way they relate to geometric analysis, algebraic geometry and probability theory. This thesis consists of four papers each contributing to this field. The first paper sets up a probabilistic framework for real Monge-Ampère equations on tori. LÄS MER

  2. 2. Admissible transformations and the group classification of Schrödinger equations

    Detta är en avhandling från Linköping : Linköping University Electronic Press

    Författare :Celestin Kurujyibwami; Peter Basarab-Horwath; Roman Popovych; Pontelis Damianou; [2017]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : We study admissible transformations and solve group classification problems for various classes of linear and nonlinear Schrödinger equations with an arbitrary number n of space variables.The aim of the thesis is twofold. LÄS MER

  3. 3. Vector-valued Eisenstein series of congruence types and their products

    Detta är en avhandling från Gothenburg : Chalmers tekniska högskola

    Författare :Jiacheng Xia; [2019]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Hecke operator; Fourier expansion of modular forms; congruence type; products of Eisenstein series; vector-valued modular forms;

    Sammanfattning : Historically, Kohnen and Zagier connected modular forms with period polynomials, and as a consequence of this association concluded that the products of at most two Eisenstein series span all spaces of classical modular forms of level 1. Later Borisov and Gunnells among other authors extended the result to higher levels. LÄS MER

  4. 4. Geometry and Critical Configurations of Multiple Views

    Detta är en avhandling från Fredrik Kahl, Centre for Mathematical Sciences, P.O. Box 118, SE-221 00 Lund, Sweden

    Författare :Fredrik Kahl; [2001]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; algebra; algebraic geometry; field theory; Number Theory; Matematik; Mathematics; reconstruction; image sequence; absolute conic; critical motions; critical surfaces; perspective projection; affine geometry; Euclidean geometry; multiple view geometry; projective geometry; group theory; Talteori; fältteori; algebraisk geometri; gruppteori; Mathematical logic; set theory; combinatories; Matematisk logik; mängdlära; kombinatorik;

    Sammanfattning : This thesis is concerned with one of the core problems in computer vision, namely to reconstruct a real world scene from several images of it. The interplay between the geometry of the scene, the cameras and the images is analyzed. LÄS MER

  5. 5. Contributions to Pointfree Topology and Apartness Spaces

    Detta är en avhandling från Uppsala : Department of Mathematics

    Författare :Anton Hedin; Erik Palmgren; Viggo Stoltenberg-Hansen; Peter Schuster; [2011]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Constructive mathematics; General topology; Pointfree topology; Domain theory; Interval analysis; Apartness spaces; MATHEMATICS Algebra; geometry and mathematical analysis Mathematical logic; MATEMATIK Algebra; geometri och analys Matematisk logik; Mathematical Logic; Matematisk logik;

    Sammanfattning : The work in this thesis contains some contributions to constructive point-free topology and the theory of apartness spaces. The first two papers deal with constructive domain theory using formal topology. LÄS MER