Global ETD Search
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Showing 1 to 4 of 4 for “"Non-positively curved"”.
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Uniform exponential growth of non-positively curved groups
… works introducing several metric notions of non-positive curvature in group theory where he asked which finitely generated groups have uniform exponential growth. We give an overview of various developments of non-positive curvature in group theory and past results related to building free …
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On State Complexes and Special Cube Complexes
We find that state complexes are non-positively curved metric spaces, aspherical topological spaces, and have fundamental groups that are subgroups of right-angled Artin groups. In addition, we find that the property state is preserved when taking finite products, as is true in the case of special. …
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Geometric Methods for Point Estimation
… the estimation of location parameters for non-Euclidean data that lies in a known manifold or metric space. Ideas from statistical decision theory motivate the construction of new estimators for location parameters. The second half of this work explores information geometric aspects of …
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Well-Posedness Threshold and Moment Asymptotics of the Parabolic Anderson Model on Riemannian Manifolds
… reasons, we only consider settings with non-positive sectional curvature in this thesis. Specifically, we consider compact manifolds with non-positive sectional curvature and Cartan-Hadamard manifolds, due to our knowledge of how the heat kernel behaves on them. Although both problems are …