Inequalities and Asymptotic Formulas in Algebraic Combinatorics
This thesis concerns certain inequalities and asymptotic formulas in algebraic combinatorics. It consists of two separate parts. The first part studies inequalities concerning triangular-grid billiards and plabic graphs of Lam–Postnikov essential dimension 2. The material in this part is based on jo...
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| Format: | Thesis |
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Massachusetts Institute of Technology
2022
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| Online Access: | https://hdl.handle.net/1721.1/144514 |
| _version_ | 1826213150835343360 |
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| author | Jiradilok, Pakawut |
| author2 | Postnikov, Alexander |
| author_facet | Postnikov, Alexander Jiradilok, Pakawut |
| author_sort | Jiradilok, Pakawut |
| collection | MIT |
| description | This thesis concerns certain inequalities and asymptotic formulas in algebraic combinatorics. It consists of two separate parts. The first part studies inequalities concerning triangular-grid billiards and plabic graphs of Lam–Postnikov essential dimension 2. The material in this part is based on joint work with Colin Defant. The second part studies inequalities and asymptotic formulas concerning large-scale rook placements. |
| first_indexed | 2024-09-23T15:44:08Z |
| format | Thesis |
| id | mit-1721.1/144514 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T15:44:08Z |
| publishDate | 2022 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/1445142022-08-30T03:08:28Z Inequalities and Asymptotic Formulas in Algebraic Combinatorics Jiradilok, Pakawut Postnikov, Alexander Massachusetts Institute of Technology. Department of Mathematics This thesis concerns certain inequalities and asymptotic formulas in algebraic combinatorics. It consists of two separate parts. The first part studies inequalities concerning triangular-grid billiards and plabic graphs of Lam–Postnikov essential dimension 2. The material in this part is based on joint work with Colin Defant. The second part studies inequalities and asymptotic formulas concerning large-scale rook placements. Ph.D. 2022-08-29T15:52:41Z 2022-08-29T15:52:41Z 2022-05 2022-06-07T15:33:55.267Z Thesis https://hdl.handle.net/1721.1/144514 In Copyright - Educational Use Permitted Copyright MIT http://rightsstatements.org/page/InC-EDU/1.0/ application/pdf Massachusetts Institute of Technology |
| spellingShingle | Jiradilok, Pakawut Inequalities and Asymptotic Formulas in Algebraic Combinatorics |
| title | Inequalities and Asymptotic Formulas in Algebraic Combinatorics |
| title_full | Inequalities and Asymptotic Formulas in Algebraic Combinatorics |
| title_fullStr | Inequalities and Asymptotic Formulas in Algebraic Combinatorics |
| title_full_unstemmed | Inequalities and Asymptotic Formulas in Algebraic Combinatorics |
| title_short | Inequalities and Asymptotic Formulas in Algebraic Combinatorics |
| title_sort | inequalities and asymptotic formulas in algebraic combinatorics |
| url | https://hdl.handle.net/1721.1/144514 |
| work_keys_str_mv | AT jiradilokpakawut inequalitiesandasymptoticformulasinalgebraiccombinatorics |