Sökning: "geometry of polynomials."

Visar resultat 11 - 15 av 26 avhandlingar innehållade orden geometry of polynomials..

  1. 11. Combinatorial Methods in Complex Analysis

    Författare :Per Alexandersson; Boris Shapiro; Alexandre Eremenko; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; combinatorics; Schrödinger equation; Toeplitz matrix; sums of squares; Schur polynomials; Mathematics; matematik;

    Sammanfattning : The theme of this thesis is combinatorics, complex analysis and algebraic geometry. The thesis consists of six articles divided into four parts.Part A: Spectral properties of the Schrödinger equationThis part consists of Papers I-II, where we study a univariate Schrödinger equation with a complex polynomial potential. LÄS MER

  3. 12. Topics in analytic theory of partial differential equations

    Författare :Sergei Chulkov; Jan-Erik Björk; Mattias Jonsson; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; partial differential equations; Algebra; geometry and mathematical analysis; Algebra; geometri och analys;

    Sammanfattning : The thesis consists of three papers I, II III devoted to some topics in analytic theory of partial differential equations. The main paper is II. In this paper we study a version of the classical problem on the convergence of formal solutions of systems of partial differential equations. LÄS MER

  4. 13. Topics in geometry, analysis and inverse problems

    Författare :Hans Rullgård; Mikael Passare; Victor Palamodov; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Laurent series; Harnack curves; differential equations; tomography; Mathematical logic; Matematisk logik;

    Sammanfattning : The thesis consists of three independent parts.Part I: Polynomial amoebasWe study the amoeba of a polynomial, as de ned by Gelfand, Kapranov and Zelevinsky. A central role in the treatment is played by a certain convex function which is linear in each complement component of the amoeba, which we call the Ronkin function. LÄS MER

  5. 14. Algorithmic Methods in Combinatorial Algebra

    Författare :Anna Torstensson; Algebra; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; algebraic geometry; field theory; Number Theory; maximal symmetry group; resultant; SAGBI basis; Orthogonal decomposition; algebra; group theory; Talteori; fältteori; algebraisk geometri; gruppteori;

    Sammanfattning : This thesis consists of a collection of articles all using and/or developing algorithmic methods for the investigation of different algebraic structures. Part A concerns orthogonal decompositions of simple Lie algebras. The main result of this part is that the symplectic Lie algebra C3 has no orthogonal decomposition of so called monomial type. LÄS MER

  7. 15. On Postbuckling Analysis of Thin-walled Structures Numerical and Statistical Approaches

    Författare :Mats Ander; Chalmers tekniska högskola; []
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; postbuckling; hierarchical elements; imperfection sensitivity; displacement gradients; total Lagrange formulation; geometrically non-linear structures;

    Sammanfattning : Thin-walled structural elements, such as plates, shells and beams are important load carrying components in civil-, mechanical-, automotive- aeronautical- and marine engineering structures. In order to reduce the weight thin-walled structures are given an optimum design making them sensitive to unforeseen deviations in geometry, boundary conditions, material properties and applied loads. LÄS MER