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A random tiling model for two dimensional electrostatics /
Part A.A Random Tiling Model for Two Dimensional Electrostatics: Introduction Definitions, statement of results and physical interpretation Reduction to boundary-influenced correlations A simple product formula for correlations along the boundary A $(2m+2n)$-fold sum for $\omega_b$ Separation of the...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
2005.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 839. |
| 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 | 2 | |a A random tiling model for two dimensional electrostatics / |c Mihai Ciucu. |
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c 2005. | ||
| 300 | |a 1 online resource (ix, 144 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 1947-6221 ; |v v. 839 | |
| 500 | |a "Volume 178, number 839 (third of 5 numbers)." | ||
| 504 | |a Includes bibliographical references (page 144). | ||
| 588 | 0 | |a Print version record. | |
| 520 | 8 | |a Part A.A Random Tiling Model for Two Dimensional Electrostatics: Introduction Definitions, statement of results and physical interpretation Reduction to boundary-influenced correlations A simple product formula for correlations along the boundary A $(2m+2n)$-fold sum for $\omega_b$ Separation of the $(2m+2n)$-fold sum for $\omega_b$ in terms of $4mn$-fold integrals The asymptotics of the $T^{(n)}$'s and ${T'}^{(n)}$'s Replacement of the $T^{(k)}$'s and ${T'}^{(k)}$'s by their asymptotics Proof of Proposition 7.2 The asymptotics of a multidimensional Laplace integral The asymptotics of $\omega_b$. Proof of Theorem 2.2 Another simple product formula for correlations along the boundary The asymptotics of $\bar{\omega}_b$. Proof of Theorem 2.1 A conjectured general two dimensional Superposition Principle Three dimensions and concluding remarks Bibliography Part B. Plane Partitions I: A Generalization of MacMahon's Formula: Introduction Two families of regions Reduction to simply-connected regions Recurrences for $\textup{M}(R_{{\bf l}, {\bf q}}(x))$ and $\textup{M}(\bar{R}_{{\bf l}, {\bf q}}(x))$ Proof of Proposition 2.1 The guessing of $\textup{M}(R_{{\bf l}, {\bf q}}(x))$ and $\textup{M}(\bar{R}_{{\bf l}, {\bf q}}(x))$ Bibliography. | |
| 505 | 0 | 0 | |t A random tiling model for two dimensional electrostatics |t 1. Introduction |t 2. Definitions, statement of results and physical interpretation |t 3. Reduction to boundary-influenced correlations |t 4. A simple product formula for correlations along the boundary |t 5. A $(2m + 2n)$-fold sum for $\omega _b$ |t 6. Separation of the $(2m + 2n)$-fold sum for $\omega _b$ in terms of $4mn$-fold integrals |t 7. The asymptotics of the $T^{(n)}$'s and $T'^{(n)}$'s |t 8. Replacement of the $T^{(k)}$'s and $T'^{(k)}$'s by their asymptotics |t 9. Proof of Proposition 7.2 |t 10. The asymptotics of a multidimensional Laplace integral |t 11. The asymptotics of $\omega _b$. Proof of Theorem 2.2 |t 12. Another simple product formula for correlations along the boundary |t 13. The asymptotics of $\bar {\omega }_b$. Proof of Theorem 2.1 |t 14. A conjectured general two dimensional superposition principle |t 15. Three dimensions and concluding remarks |t B. Plane partitions I: A generalization of MacMahon's formula |t 1. Introduction |t 2. Two families of regions |t 3. Reduction to simply-connected regions |t 4. Recurrences for $\mathrm {M}(R_{\mathbf {l}, \mathbf {q}}(x))$ and $\mathrm {M}(\bar {R}_{\mathbf {l}, \mathbf {q}}(x))$ |t 5. Proof of Proposition 2.1 |t 6. The guessing of $\mathrm {M}(R_{\mathbf {l}, \mathbf {q}}(x))$ and $\mathrm {M}(\bar {R}_{\mathbf {l}, \mathbf {q}}(x))$ |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Tiling (Mathematics) | |
| 650 | 0 | |a Electrostatics. | |
| 650 | 0 | |a Statistical mechanics. | |
| 650 | 6 | |a Pavage (Mathématiques) | |
| 650 | 6 | |a Mécanique statistique. | |
| 650 | 7 | |a Electrostatics |2 fast | |
| 650 | 7 | |a Statistical mechanics |2 fast | |
| 650 | 7 | |a Tiling (Mathematics) |2 fast | |
| 758 | |i has work: |a A random tiling model for two dimensional electrostatics (Text) |1 https://id.oclc.org/worldcat/entity/E39PCH7vQwXTxT8dm9HqDBKMrq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Ciucu, Mihai, 1968- |t Random tiling model for two dimensional electrostatics / |x 0065-9266 |z 9780821837948 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 839. |x 0065-9266 | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114064 |z Texto completo |
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