Sökning: "positive coefficients"

Visar resultat 1 - 5 av 62 avhandlingar innehållade orden positive coefficients.

  1. 1. A combinatorial description of certain polynomials related to the XYZ spin chain

    Författare :Linnea Hietala; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; six-vertex model; eight-vertex SOS model; three-color model; domain wall boundary conditions; reflecting end; partition function; determinant formula; XYZ spin chain; alternating sign matrices; polynomials; positive coefficients;

    Sammanfattning : The aim of this thesis is to study the connection between the three-color model and the polynomials q_n(z) of Bazhanov and Mangazeev. To give some background, we describe some exactly solvable, quantum integrable lattice models and their connections to each other and to other models. LÄS MER

  2. 2. Combinatorics of solvable lattice models with a reflecting end

    Författare :Linnea Hietala; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; mathematics; mathematical physics; six-vertex model; eight-vertex SOS model; three-color model; reflecting end; domain wall boundary conditions; partition function; determinant formula; XYZ spin chain; alternating sign matrices; special polynomials; positive coefficients;

    Sammanfattning : I den här avhandlingen studerar vi några exakt lösbara, kvantintegrerbara gittermodeller. Izergin bevisade en determinantformel för partitionsfunktionen till sexvertexmodellen på ett gitter av storlek n × n med Korepins domänväggrandvillkor (domain wall boundary conditions – DWBC). LÄS MER

  3. 3. Positive vector bundles in complex and convex geometry

    Författare :Hossein Raufi; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Nakano positivity; vanishing theorems; Prekopa theorem; Griffiths positivity; convex geometry; Ohsawa-Takegoshi extension theorem; dbar-equation; L^2-estimates; singular hermitian metrics; holomorphic vector bundles; holomorphic vector bundles; dbar-equation; L^2-estimates; singular hermitian metrics; Griffiths positivity; Nakano positivity; vanishing theorems; Ohsawa-Takegoshi extension theorem; convex geometry; Prekopa theorem;

    Sammanfattning : This thesis concerns various aspects of the geometry of holomorphic vector bundles and their analytical theory which all, vaguely speaking, are related to the notion of positive curvature in general, and L^2-methods for the dbar-equation in particular. The thesis contains four papers. LÄS MER

  4. 4. A Parameterization of Positive Real Residue Interpolants with McMillan Degree Constraint

    Författare :Yohei Kuroiwa; Anders Lindquist; György Michaletzky; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK; Optimization; systems theory; Optimeringslära; systemteori;

    Sammanfattning : The main body of this thesis consists of six appended papers.The papers are about the theory of the positive real interpolationwith McMillan degree constraint.In Paper A, a parameterization of the positive real residue interpolantswith McMillan degree constraint is given. LÄS MER

  5. 5. Relations between functions from some Lorentz type spaces and summability of their Fourier coefficients

    Författare :Aigerim Kopezhanova; Natasha Samko; Luleå tekniska universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Lorentz spaces; Fourier series; Inequalities; Mathematics; Matematik; Mathematics; Matematik;

    Sammanfattning : This Licentiate Thesis is devoted to the study of summability of the Fourier coefficients for functions from some Lorentz type spaces and contains three papers (papers A - C) together with an introduction, which put these papers into a general frame.Let $\Lambda_p(\omega),\;\; p>0,$ denote the Lorentz spaces equipped with the (quasi) norm$$\|f\|_{\Lambda_p(\omega)}:=\left(\int_0^1\left(f^*(t)\omega(t)\right)^p\frac{dt}{t}\right)^{\frac1p}$$for a function $f$ on [0,1] and with $\omega$ positive and equipped with some additional growth properties. LÄS MER