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http://hdl.handle.net/11375/21403| Title: | Volumes of Balls in Grassmann Manifolds with Applications to Coding Theory |
| Authors: | Keenan, Patrick Jordan |
| Advisor: | Min-Oo, Maung |
| Department: | Mathematics |
| Keywords: | volumes of balls, Grassmann manifolds, applications, coding theory, algorithm |
| Publication Date: | 19-Apr-2008 |
| Abstract: | <p> This thesis develops the Riemannian Geometry of the real and complex Grassmann Manifolds in a notationally accessible way. The canonical volume form is related to explicit Jacobi Field calculations. The implementation of a packing algorithm based on repulsive forces is proposed. Standard packing bounds and bounds on the volumes of geodesic balls are used to test the performance of the algorithm.</p> |
| URI: | http://hdl.handle.net/11375/21403 |
| Appears in Collections: | Digitized Open Access Dissertations and Theses |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Keenan_Patrick_J._2008Apr_Masters..pdf | 1.92 MB | Adobe PDF | View/Open |
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