Sökning: "horospheres"

Hittade 3 avhandlingar innehållade ordet horospheres.

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

   Författare :Samuel Charles Edwards; Andreas Strömbergsson; Henrik Schlichtkrull; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; automorphic functions; effective equidistribution; Eisenstein series; homogeneous dynamics; horospheres; lattices; Lie groups; representation theory; Mathematics; Matematik;

   Sammanfattning : 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. LÄS MER

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

   Författare :Anders Södergren; Andreas Strömbergsson; Uppsala universitet; []
   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

4. 3. Asymptotic Problems on Homogeneous Spaces

   Författare :Anders Södergren; Andreas Strömbergsson; Dennis Hejhal; Jens Marklof; Uppsala universitet; []
   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