Volumes of Balls in Grassmann Manifolds with Applications to Coding Theory
| dc.contributor.advisor | Min-Oo, Maung | |
| dc.contributor.author | Keenan, Patrick Jordan | |
| dc.contributor.department | Mathematics | en_US |
| dc.date.accessioned | 2017-05-09T15:50:27Z | |
| dc.date.available | 2017-05-09T15:50:27Z | |
| dc.date.issued | 2008-04-19 | |
| dc.description.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> | en_US |
| dc.description.degree | Master of Science (MSc) | en_US |
| dc.description.degreetype | Thesis | en_US |
| dc.identifier.uri | http://hdl.handle.net/11375/21403 | |
| dc.language.iso | en_US | en_US |
| dc.subject | volumes of balls, Grassmann manifolds, applications, coding theory, algorithm | en_US |
| dc.title | Volumes of Balls in Grassmann Manifolds with Applications to Coding Theory | en_US |
| dc.type | Thesis | en_US |