Search for dissertations about: "equidistribution"
Showing result 1 - 5 of 6 swedish dissertations containing the word equidistribution.
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1. Asymptotic Problems on Homogeneous Spaces
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
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2. Studies in the analytic and spectral theory of automorphic forms
Abstract : .... READ MORE
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3. Equidistribution towards the Green current in complex dynamics
Abstract : Given a holomorphic self-map of complex projective space of de-gree larger than one, we prove that there exists a finite collection oftotally invariant algebraic sets with the following property: given anypositive closed (1,1)-current of mass 1 with no mass on any element of this family, the sequence of normalized pull-backs of the current converges to the Green current. Under suitable geometric conditions on the collection of totally invariant algebraic sets, we prove a sharper equidistribution result. READ MORE
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4. On the Uniform Equidistribution of Closed Horospheres in Hyperbolic Manifolds
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
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5. Some applications of representation theory in homogeneous dynamics and automorphic functions
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