Search for dissertations about: "Canonical"

Showing result 1 - 5 of 325 swedish dissertations containing the word Canonical.

  2. 1. Software tools for matrix canonical computations and web-based software library environments

    Author : Pedher Johansson; Bo Kågström; Erik. Elmroth; Alan Edelman; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Canonical structure; Jordan canonical form; controllability; StratiGraph; Matlab toolbox; Kronecker canonical form; matrix; matrix pencil; perturbation theory; closure hirerarchy; matrix stratification; control system; observability; Numerical analysis; Numerisk analys;

    Abstract : This dissertation addresses the development and use of novel software tools and environments for the computation and visualization of canonical information as well as stratification hierarchies for matrices and matrix pencils. The simplest standard shape to which a matrix pencil with a given set of eigenvalues can be reduced is called the Kronecker canonical form (KCF). READ MORE

  4. 2. Non-Linear Canonical Methods in Strongly Correlated Electron Systems

    Author : Matteo Bazzanella; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Majorana fermions; Emergent Majorana fermions; Non-linear transformation; canonical transformation; Kondo lattice; Mott insulator; Mean-field; Path-integral;

    Abstract : In this thesis some new ideas to perform the analysis of Strongly Correlated Electronic Systems (SCES) are developed. In particular the use of non-linear canonical transformations is considered thoroughly. READ MORE

  5. 3. Canonical and non-canonical functions of METTL3 in breast cancer

    Author : Cyrinne Achour; Francesca Aguilo; Jonathan D. Gilthorpe; Jean-Yves Roignant; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; RNA modification; METTL3; m6A; alternative splicing; exocyst; breast cancer;

    Abstract : Gene expression is spatially and temporally regulated at multiple levels. N6-methyladenosine (m6A) is the most prevalent internal modification in messenger RNA (mRNA) and long noncoding RNA (lncRNAs). READ MORE

  6. 4. Canonical Bases for Algebraic Computations

    Author : Patrik Nordbeck; Algebra; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; gruppteori; algebra; algebraisk geometri; fältteori; Talteori; group theory; algebraic geometry; field theory; Matematik; Number Theory; regular languages; Mathematics; composition of polynomials; factor algebras; Gröbner bases; SAGBI bases;

    Abstract : This thesis deals with computational methods in algebra, mainly focusing on the concept of Gröbner and SAGBI bases in non-commutative algebras. The material has a natural division into two parts. The first part is a rather extensive treatment of the basic theory of Gröbner bases and SAGBI bases in the non-commutative polynomial ring. READ MORE

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

    Author : Jakob Hultgren; Göteborgs universitet; []
    Keywords : 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; Statistical Mechanics;

    Abstract : 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. READ MORE