Search for dissertations about: "Hyperbolic space"

Showing result 1 - 5 of 35 swedish dissertations containing the words Hyperbolic space.

  2. 1. Studies on boundary values of eigenfunctions on spaces of constant negative curvature

    Author : Pierre Bäcklund; Andreas Juhl; Andreas Strömbergsson; Genkai Zhang; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Hyperbolic space; anti de Sitter space; spectral geometry; scattering theory; analysis on real and complex Lie groups; intertwining operators; Verma modules; analysis on homogeneous spaces; conformal differential geometry; Selberg zeta functions; Algebra; geometry and mathematical analysis; Algebra; geometri och analys;

    Abstract : This thesis consists of two papers on the spectral geometry of locally symmetric spaces of Riemannian and Lorentzian signature. Both works are concerned with the idea of relating analysis on such spaces to structures on their boundaries.The first paper is motivated by a conjecture of Patterson on the Selberg zeta function of Kleinian groups. READ MORE

  4. 2. Dynamics of Smooth Hyperbolic Systems with Singularities

    Author : Tomas Persson; Dynamiska system; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics; Dimension Theory; Hyperbolic Dynamics; Subshift; SRB-measure;

    Abstract : This thesis is about dynamics of piecewise hyperbolic maps on bounded sets in the plane and on the interval. It is based on the following papers: T. Persson, A piecewise hyperbolic map with absolutely continuous invariant measure, Dynamical Systems: An International Journal, 21:3 (2006), 363--378 T. READ MORE

  5. 3. Efficient Solvers for Space-Time Discontinuous Galerkin Spectral Element Methods

    Author : Lea Miko Versbach; Numerisk analys; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Discontinuous Galerkin Method; Spectral Element Method; Finite Volume Method; Implicit Schemes; Preconditioner; Multigrid Method; Space-Time; Lobatto IIIC Method; Local Fourier Analysis;

    Abstract : In this thesis we study efficient solvers for space-time discontinuous Galerkin spectral element methods (DG-SEM). These discretizations result in fully implicit schemes of variable order in both spatial and temporal directions. READ MORE

  6. 4. Continuum Percolation in non-Euclidean Spaces

    Author : Johan Tykesson; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Bernoulli percolation; continuum percolation; dependent percolation; double phase transition; hyperbolic space; Poisson Boolean model; geodesic percolation; continuum percolation;

    Abstract : In this thesis we first consider the Poisson Boolean model of continuum percolation in $n$-dimensional hyperbolic space ${\mathbb H}^n$. Let $R$ be the radius of the balls in the model, and $\lambda$ the intensity of the underlying Poisson process. READ MORE

  7. 5. Asymptotic Problems on Homogeneous Spaces

    Author : Anders Södergren; Andreas Strömbergsson; Dennis Hejhal; Jens Marklof; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Analysis on homogeneous spaces; hyperbolic manifolds; spectral theory; equidistribution; the space of lattices; length statistics; Poisson process; moments; Epstein zeta function; value distribution; height function.; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

    Abstract : This PhD thesis consists of a summary and five papers which all deal with asymptotic problems on certain homogeneous spaces. In Paper I we prove asymptotic equidistribution results for pieces of large closed horospheres in cofinite hyperbolic manifolds of arbitrary dimension. READ MORE