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| Creator | Title | Description | Subject | Date | ||
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Zhao, Michael | Binary Hermitian Forms and Optimal Embeddings | Let L=K be a quadratic extension of global fields, and OL the ring of integers of L. We prove two correspondences between (i) binary L-hermitian forms which represent 1 and optimal embeddings of L into a quaternion algebra, (ii) integral binary OL-hermitian forms which represent 1 and embeddings of ... | 2017 | |
| 2 |
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Zheng, Kenneth | Dyck Paths and Random Trees | We give an expository survey of random trees, focusing on the interplay between plane trees and Dyck paths. The material explained here summarizes what can be found in Aldous [1], Le Gall [10], and Drmota [6]. The bijection between plane trees and Dyck paths serves as motivation for the connection b... | 2017 | |
| 3 |
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Tse, Justin | The Linear Algebra of the Last Passage Percolation Model | We study the linear algebra of the last passage percolation model. In this model, we want to find the statistics of maximal paths through a randomly weighted grid. Specifically we focus on bases of the set of path lengths made from paths. The maximum path length is a deterministic function of a much... | 2017 |
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