Sökning: "hyperbolic space"
Visar resultat 1 - 5 av 35 avhandlingar innehållade orden hyperbolic space.
1. Studies on boundary values of eigenfunctions on spaces of constant negative curvature
Sammanfattning : 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. LÄS MER
2. Dynamics of Smooth Hyperbolic Systems with Singularities
Sammanfattning : 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. LÄS MER
3. Efficient Solvers for Space-Time Discontinuous Galerkin Spectral Element Methods
Sammanfattning : 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. LÄS MER
4. Continuum Percolation in non-Euclidean Spaces
Sammanfattning : 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. LÄS MER
5. Asymptotic Problems on Homogeneous Spaces
Sammanfattning : 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. LÄS MER