Sökning: "geometri och analys Analys"

Visar resultat 1 - 5 av 93 avhandlingar innehållade orden geometri och analys Analys.

  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;

    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; Linköpings universitet.; Linköpings universitet.; [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. Permanental Point Processes on Real Tori

    Detta är en avhandling från Göteborg : Chalmers University of Technology

    Författare :Jakob Hultgren; Göteborgs universitet.; Gothenburg University.; [2016]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Point Processes; Monge-Ampère equations; Affine Manifolds;

    Sammanfattning : The main motivation for this thesis is to study real Monge-Ampère equations. These are fully nonlinear differential equations that arise in differential geometry. They lie at the heart of optimal transport and, as such, are related to probability theory, statistics, geometrical inequalities, fluid dynamics and diffusion equations. LÄS MER

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

    Detta är en avhandling från ; Chalmers tekniska högskola; Gothenburg

    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

  5. 5. Prestress in Nature and Technics

    Detta är en avhandling från ; Chalmers tekniska högskola; Gothenburg

    Författare :Alexander Sehlström; [2019]
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; HUMANIORA; HUMANITIES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Conceptual design; Architecture; Stress pattern; Engineering; Structural design; Geometrical stiffness; Prestress; Form finding;

    Sammanfattning : To direct the forces of nature is a central task in the creation of spaces and load-carrying structures for architecture. This research investigates how prestress can be used as a design tool for the creation of material efficient and well-functioning structures, and in early design stages contribute to sustainable, functional and beautiful architecture. LÄS MER