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Exact Solution of the Dimer Model on the Square and Triangular Lattice
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| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | Exact Solution of the Dimer Model on the Square and Triangular Lattice. |
| 개인저자 | Petrovic, Drazen. |
| 단체저자명 | Purdue University. Mathematics. |
| 발행사항 | [S.l.]: Purdue University., 2018. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2018. |
| 형태사항 | 142 p. |
| 기본자료 저록 | Dissertation Abstracts International 79-12B(E). Dissertation Abstract International |
| ISBN | 9780438154476 |
| 학위논문주기 | Thesis (Ph.D.)--Purdue University, 2018. |
| 일반주기 |
Source: Dissertation Abstracts International, Volume: 79-12(E), Section: B.
Adviser: Pavel Bleher. |
| 요약 | In this thesis we give an exact solution of the dimer model on the square and triangular lattice with different boundary conditions. |
| 요약 | 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 |
| 요약 | 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 |
| 요약 | 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. |
| 일반주제명 | Mathematics. |
| 언어 | 영어 |
| 바로가기 | 
: 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
