| LDR | | 02109nmm uu200409 4500 |
| 001 | | 000000332944 |
| 005 | | 20240805171903 |
| 008 | | 181129s2018 |||||||||||||||||c||eng d |
| 020 | |
▼a 9780438154476 |
| 035 | |
▼a (MiAaPQ)AAI10793789 |
| 035 | |
▼a (MiAaPQ)purdue:22638 |
| 040 | |
▼a MiAaPQ
▼c MiAaPQ
▼d 248032 |
| 082 | 0 |
▼a 510 |
| 100 | 1 |
▼a Petrovic, Drazen. |
| 245 | 10 |
▼a Exact Solution of the Dimer Model on the Square and Triangular Lattice. |
| 260 | |
▼a [S.l.] :
▼b Purdue University.,
▼c 2018 |
| 260 | 1 |
▼a Ann Arbor :
▼b ProQuest Dissertations & Theses,
▼c 2018 |
| 300 | |
▼a 142 p. |
| 500 | |
▼a Source: Dissertation Abstracts International, Volume: 79-12(E), Section: B. |
| 500 | |
▼a Adviser: Pavel Bleher. |
| 502 | 1 |
▼a Thesis (Ph.D.)--Purdue University, 2018. |
| 520 | |
▼a In this thesis we give an exact solution of the dimer model on the square and triangular lattice with different boundary conditions. |
| 520 | |
▼a Concretely, we being by discussing Kasteleyn's contribution to the dimer model studies. We then prove the Pfaffian Sign Theorem for the dimer model on a triangular lattice embedded in the torus. More specifically, we prove that the Pfaffian of t |
| 520 | |
▼a Finally, we obtain the full asymptotic expansion of the partition function of the two-dimensional dimer model on the m x n square lattice with free and periodic boundary conditions. We show that the asymptotic expansion goes over powers of S -1 |
| 520 | |
▼a Furthermore, as an application of the Pfaffian Sign Theorem, we obtain an asymptotic behavior with an exponentially small error term of the partition function of the two-dimensional dimer model on the m x n triangular lattice on the torus. |
| 590 | |
▼a School code: 0183. |
| 650 | 4 |
▼a Mathematics. |
| 690 | |
▼a 0405 |
| 710 | 20 |
▼a Purdue University.
▼b Mathematics. |
| 773 | 0 |
▼t Dissertation Abstracts International
▼g 79-12B(E). |
| 773 | |
▼t Dissertation Abstract International |
| 790 | |
▼a 0183 |
| 791 | |
▼a Ph.D. |
| 792 | |
▼a 2018 |
| 793 | |
▼a English |
| 856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T14997767
▼n KERIS |
| 980 | |
▼a 201812
▼f 2019 |
| 990 | |
▼a 관리자 |