| LDR | | 00000nmm u2200205 4500 |
| 001 | | 000000331079 |
| 005 | | 20241108111448 |
| 008 | | 181129s2018 ||| | | | eng d |
| 020 | |
▼a 9780438288768 |
| 035 | |
▼a (MiAaPQ)AAI10837474 |
| 035 | |
▼a (MiAaPQ)wisc:15495 |
| 040 | |
▼a MiAaPQ
▼c MiAaPQ
▼d 248032 |
| 049 | 1 |
▼f DP |
| 082 | 0 |
▼a 510 |
| 100 | 1 |
▼a Yang, Jay. |
| 245 | 10 |
▼a Random and Probabilistic Methods in Algebraic Geometry and Commutative Algebra. |
| 260 | |
▼a [S.l.] :
▼b The University of Wisconsin - Madison.,
▼c 2018 |
| 260 | 1 |
▼a Ann Arbor :
▼b ProQuest Dissertations & Theses,
▼c 2018 |
| 300 | |
▼a 47 p. |
| 500 | |
▼a Source: Dissertation Abstracts International, Volume: 79-12(E), Section: B. |
| 500 | |
▼a Adviser: Daniel Erman. |
| 502 | 1 |
▼a Thesis (Ph.D.)--The University of Wisconsin - Madison, 2018. |
| 520 | |
▼a This thesis focuses on the application of Random and Probabilistic methods to problems in Algebraic Geometry and Commutative algebra. We focus primarily on using techniques inspired by the work of Erdos and Renyi, in their seminal paper On Rando |
| 520 | |
▼a In the case of toric surfaces we construct a model for a random toric surface by constructing random fans. This then allows us to prove results about the smoothness of a random surface. This includes prove threshold results in a similar style to |
| 520 | |
▼a In the case of monomial ideals, we investigate the asymptotic behavior of the syzygies of random Stanley-Reisner ideals. To do this we study a model derived from the model of a random flag complex used by Kahle. This leads us to examples of asym |
| 590 | |
▼a School code: 0262. |
| 650 | 4 |
▼a Mathematics. |
| 690 | |
▼a 0405 |
| 710 | 20 |
▼a The University of Wisconsin - Madison.
▼b Mathematics. |
| 773 | 0 |
▼t Dissertation Abstracts International
▼g 79-12B(E). |
| 773 | |
▼t Dissertation Abstract International |
| 790 | |
▼a 0262 |
| 791 | |
▼a Ph.D. |
| 792 | |
▼a 2018 |
| 793 | |
▼a English |
| 856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T14999559
▼n KERIS |
| 980 | |
▼a 201812
▼f 2019 |
| 990 | |
▼a 관리자
▼b 관리자 |