Sökning: "unbounded geometry"

Hittade 5 avhandlingar innehållade orden unbounded geometry.

  1. 1. Properties of invariant sets in certain two-dimensional dynamical systems : Renormalization and beyond

    Författare :Dan Lilja; Denis Gaidashev; Konstantin Khanin; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Dynamical systems; renormalization; area-preserving maps; unbounded geometry; almost commuting pairs; universality; non-rigidity;

    Sammanfattning : This thesis consists of an introduction and four research papers concerning dynamical systems, focusing on renormalization in two dimensions.Paper I (joint with Jordi-Lluís Figueras) studies a generalization of the anti-integrable limit of skew-product systems based on a Frenkel-Kontorova model. LÄS MER

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

    Författare :Julius Borcea; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :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;

    Sammanfattning : 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. LÄS MER

  4. 3. Graphical representations of Ising and Potts models : Stochastic geometry of the quantum Ising model and the space-time Potts model

    Författare :Jakob Erik Björnberg; Anders Björner; Jeffrey Steif; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Quantum Ising model; Ising model; Potts model; random-cluster model; random-current representation; random-parity representation; differential inequality; phase transition; Discrete mathematics; Diskret matematik;

    Sammanfattning : HTML clipboard Statistical physics seeks to explain macroscopic properties of matter in terms of microscopic interactions. Of particular interest is the phenomenon of phase transition: the sudden changes in macroscopic properties as external conditions are varied. LÄS MER

  5. 4. Stable Numerical Methods with Boundary and Interface Treatment for Applications in Aerodynamics

    Författare :Sofia Eriksson; Jan Nordström; Gunilla Kreiss; Thomas Hagstrom; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; summation by parts; simultaneous approximation term; accuracy; stability; finite difference methods; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Sammanfattning : In numerical simulations, problems stemming from aerodynamics pose many challenges for the method used. Some of these are addressed in this thesis, such as the fluid interacting with objects, the presence of shocks, and various types of boundary conditions. LÄS MER

  7. 5. Numerical Solution of Ill-posed Cauchy Problems for Parabolic Equations

    Författare :Zohreh Ranjbar; Lars Eldén; Per Christian Hansen; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Sammanfattning : Ill-posed mathematical problem occur in many interesting scientific and engineering applications. The solution of such a problem, if it exists, may not depend continuously on the observed data. For computing a stable approximate solution it is necessary to apply a regularization method. LÄS MER