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The scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ciucu, Mihai, 1968-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, 2009.
Colección:Memoirs of the American Mathematical Society ; no. 935.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Ciucu, Mihai,  |d 1968-  |1 https://id.oclc.org/worldcat/entity/E39PCjGHMFQgWPG8yv4G9G9g4y 
245 1 4 |a The scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions /  |c Mihai Ciucu. 
260 |a Providence, R.I. :  |b American Mathematical Society,  |c 2009. 
300 |a 1 online resource (ix, 100 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Memoirs of the American Mathematical Society,  |x 1947-6221 ;  |v v. 935 
500 |a "Volume 199, number 935 (end of volume)." 
504 |a Includes bibliographical references (pages 99-100). 
588 0 |a Print version record. 
505 0 0 |t Introduction  |t Chapter 1. Definition of $\hat {\omega }$ and statement of main result  |t Chapter 2. Deducing Theorem 1.2 from Theorem 2.1 and Proposition 2.2  |t Chapter 3. A determinant formula for $\hat {\omega }$  |t Chapter 4. An exact formula for $U_s(a, b)$  |t Chapter 5. Asymptotic singularity and Newton's divided difference operator  |t Chapter 6. The asymptotics of the entries in the $U$-part of $M'$  |t Chapter 7. The asymptotics of the entries in the $P$-part of $M'$  |t Chapter 8. The evaluation of $\det (M")$  |t Chapter 9. Divisibility of $\det (M")$ by the powers of $q -- \zeta $ and $q -- \zeta ^{-1}$  |t Chapter 10. The case $q = 0$ of Theorem 8.1, up to a constant multiple  |t Chapter 11. Divisibility of $\det (dM_0)$ by the powers of $(x_i -- x_j) -- \zeta ^{\pm 1}(y_i -- y_j) -- ah$  |t Chapter 12. Divisibility of $\det (dM_0)$ by the powers of $(x_i -- z_j) -- \zeta ^{\pm 1}(y_i -- \hat {\omega }_j)$  |t Chapter 13. The proofs of Theorem 2.1 and Proposition 2.2  |t Chapter 14. The case of arbitrary slopes  |t Chapter 15. Random covering surfaces and physical interpretation  |t Appendix. A determinant evaluation. 
546 |a English. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Scaling laws (Statistical physics) 
650 0 |a Bethe-ansatz technique. 
650 0 |a Tiling (Mathematics) 
650 0 |a Statistical mechanics. 
650 6 |a Lois d'échelle (Physique statistique) 
650 6 |a Ansatz de Bethe. 
650 6 |a Pavage (Mathématiques) 
650 6 |a Mécanique statistique. 
650 7 |a Bethe-ansatz technique  |2 fast 
650 7 |a Scaling laws (Statistical physics)  |2 fast 
650 7 |a Statistical mechanics  |2 fast 
650 7 |a Tiling (Mathematics)  |2 fast 
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776 0 8 |i Print version:  |a Ciucu, Mihai, 1968-  |t Scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions /  |x 0065-9266  |z 9780821843260 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 935.  |x 0065-9266 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114145  |z Texto completo 
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