Sökning: "arithmetic dynamics"

Visar resultat 1 - 5 av 12 avhandlingar innehållade orden arithmetic dynamics.

  1. 1. Ramification numbers and periodic points in arithmetic dynamical systems

    Författare :Jonas Nordqvist; Karl-Olof Lindahl; Johan Öinert; Linnéuniversitetet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; ramification numbers; local fields; arithmetic dynamics; periodic points; Nottingham group; Mathematics; Matematik;

    Sammanfattning : The field of discrete dynamical systems is a rich and active field of research within mathematics, with applications ranging from biology to computer science, finance, engineering and various others. In this thesis properties of certain discrete dynamical systems are studied together with number theoretic properties of the functions defining these systems. LÄS MER

  3. 2. Computational dynamics – real and complex

    Författare :Anna Belova; Warwick Tucker; Denis Gaidashev; Àlex Haro Provinciale; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Continued fractions; Generating functions; Rotation numbers; Rigorous computations; Interval analysis; Interval arithmetic; Multipliers; Quadratic map; Kuramoto-Sivashinsky equation; Mathematics; Matematik;

    Sammanfattning : The PhD thesis considers four topics in dynamical systems and is based on one paper and three manuscripts.In Paper I we apply methods of interval analysis in order to compute the rigorous enclosure of rotation number. LÄS MER

  4. 3. Residue fixed point index and wildly ramified power series

    Författare :Jonas Nordqvist; Karl-Olof Lindahl; Robert Laurent Benedetto; Linnéuniversitetet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; wildly ramified power series; residue fixed point index; formal invariant; iterative residue; ramification numbers; non-archimedean; discrete dynamical systems; arithmetic dynamics; periodic points; Nottingham group; Mathematics; Matematik;

    Sammanfattning : This thesis concerns discrete dynamical systems. These are systems where the dynamics is modeled by iterated functions. There are several applications of discrete dynamical system e.g. LÄS MER

  5. 4. Arithmetic and Hyperbolic Structures in String Theory

    Författare :Daniel Persson; Chalmers tekniska högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Instantons; Kac-Moody algebras; Spacelike singularities; String Theory;

    Sammanfattning : This thesis consists of an introductory text followed by two separate parts which may be read independently of each other. In Part I we analyze certain hyperbolic structures arising when studying gravity in the vicinity of spacelike singularities (the BKL-limit). LÄS MER

  7. 5. Direct Numerical Simulation of Turbulence on Heterogenous Computer Systems : Architectures, Algorithms, and Applications

    Författare :Martin Karp; Stefano Markidis; Niclas Jansson; Philipp Schlatter; William Gropp; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; High Performance Computing; Turbulence; Computational Fluid Dynamics; Heterogenous Computer Architectures; Högprestandaberäkningar; Turbulens; Numerisk Strömingsmekanik; Heterogena Datorarkitekturer; Datalogi; Computer Science;

    Sammanfattning : Direct numerical simulations (DNS) of turbulence have a virtually unbounded need for computing power. To carry out these simulations, software, computer architectures, and algorithms must operate as efficiently as possible to amortize the large computational cost. LÄS MER