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The scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| 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 |
Tabla de Contenidos:
- Introduction Chapter 1. Definition of $\hat {\omega }$ and statement of main result Chapter 2. Deducing Theorem 1.2 from Theorem 2.1 and Proposition 2.2 Chapter 3. A determinant formula for $\hat {\omega }$ Chapter 4. An exact formula for $U_s(a, b)$ Chapter 5. Asymptotic singularity and Newton's divided difference operator Chapter 6. The asymptotics of the entries in the $U$-part of $M'$ Chapter 7. The asymptotics of the entries in the $P$-part of $M'$ Chapter 8. The evaluation of $\det (M")$ Chapter 9. Divisibility of $\det (M")$ by the powers of $q
- \zeta $ and $q
- \zeta ^{-1}$ Chapter 10. The case $q = 0$ of Theorem 8.1, up to a constant multiple Chapter 11. Divisibility of $\det (dM_0)$ by the powers of $(x_i
- x_j)
- \zeta ^{\pm 1}(y_i
- y_j)
- ah$ Chapter 12. Divisibility of $\det (dM_0)$ by the powers of $(x_i
- z_j)
- \zeta ^{\pm 1}(y_i
- \hat {\omega }_j)$ Chapter 13. The proofs of Theorem 2.1 and Proposition 2.2 Chapter 14. The case of arbitrary slopes Chapter 15. Random covering surfaces and physical interpretation Appendix. A determinant evaluation.