Asymptotic Problems on Homogeneous Spaces

Asymptotic Problems on Homogeneous Spaces

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. All our results are giv...

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Bibliographic Details
Main Author: Södergren, Anders
Format: Doctoral Thesis
Language:English
Published: Uppsala universitet, Matematiska institutionen 2010
Subjects:
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
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-132645
http://nbn-resolving.de/urn:isbn:978-91-506-2163-1

Internet

http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-132645
http://nbn-resolving.de/urn:isbn:978-91-506-2163-1

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