Search for dissertations about: "horospheres"

Found 3 swedish dissertations containing the word horospheres.

  1. 1. Some applications of representation theory in homogeneous dynamics and automorphic functions

    University dissertation from Uppsala : Department of Mathematics

    Author : Samuel Charles Edwards; Uppsala universitet.; [2018]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; automorphic functions; effective equidistribution; Eisenstein series; homogeneous dynamics; horospheres; lattices; Lie groups; representation theory; Mathematics; Matematik;

    Abstract : This thesis consists of an introduction and five papers in the general area of dynamics and functions on homogeneous spaces. A common feature is that representation theory plays a key role in all articles. READ MORE

  2. 2. On the Uniform Equidistribution of Closed Horospheres in Hyperbolic Manifolds

    University dissertation from Uppsala : Matematiska institutionen, Uppsala universitet

    Author : Anders Södergren; Uppsala universitet.; [2008]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Abstract : We prove equidistribution results for (pieces of) closed horospheres in cofinite hyperbolic manifolds of dimension n+1, using spectral methods. This extends earlier results by Hejhal [Hej2] and Str¨ombergsson [St1] in dimension 2... READ MORE

  3. 3. Asymptotic Problems on Homogeneous Spaces

    University dissertation from Uppsala : Department of Mathematics

    Author : Anders Södergren; Uppsala universitet.; [2010]
    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