Search for dissertations about: "Geometry of zeros of polynomials"

Found 5 swedish dissertations containing the words Geometry of zeros of polynomials.

  2. 1. Asymptotic distribution of zeros of a certain class of hypergeometric polynomials

    Author : Addisalem Abathun; Rikard Bögvad; Maurice Duits; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Hypergeometric polynomials; Potential theory; Mathematics; matematik;

    Abstract : The thesis consists of two papers, both treating hypergeometric polynomials, and a short introduction. The main results are as follows. READ MORE

  4. 2. Dualities, affine vertex operator algebras, and geometry of complex polynomials

    Author : Julius Borcea; Matematik (naturvetenskapliga fakulteten); []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Sendov s conjecture; annihilating fields; relative vertex operators; twisted modules; vertex operator algebras; Affine Lie algebras; standard modules; geometry of polynomials.; Mathematics; Matematik;

    Abstract : This thesis consists of two parts which deal with different subjects. In the first part we study certain aspects of the representation theory of affine Kac-Moody Lie algebras and related structures. READ MORE

  5. 3. Tropical aspects of real polynomials and hypergeometric functions

    Author : Jens Forsgård; Boris Shapiro; Grigory Mikhalkin; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Amoeba; Tropical Geometry; Hypergeometric function; Geometry of zeros; Discriminant; Mathematics; matematik;

    Abstract : The present thesis has three main topics: geometry of coamoebas, hypergeometric functions, and geometry of zeros.First, we study the coamoeba of a Laurent polynomial f in n complex variables. We define a simpler object, which we call the lopsided coamoeba, and associate to the lopsided coamoeba an order map. READ MORE

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

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

    Abstract : 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. READ MORE

  7. 5. Algebraic Approaches to Normal Forms and Zero Dynamics

    Author : Håkan Fortell; Linköpings universitet; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY;

    Abstract : The normal form of affine state space systems has been extensively studied during the last decade and it has found several important applications. Two such applications are exact input-output linearization and sliding mode control. A property of affine nonlinear systems that is simple to compute given a normal form is the zero dynamics. READ MORE