Sökning: "Anders Södergren"

Hittade 2 avhandlingar innehållade orden Anders Södergren.

  1. 1. Asymptotic Problems on Homogeneous Spaces

    Detta är en avhandling från Uppsala : Department of Mathematics

    Författare :Anders Södergren; Uppsala universitet.; [2010]
    Nyckelord :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;

    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

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

    Detta är en avhandling från Uppsala : Matematiska institutionen, Uppsala universitet

    Författare :Anders Södergren; Uppsala universitet.; [2008]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Sammanfattning : 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... LÄS MER