A random tiling model for two dimensional electrostatics / / Mihai Ciucu

• Autore: Ciucu Mihai <1968->
• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2005]; ©2005
• Descrizione fisica: 1 online resource (162 p.)
• Disciplina: 510 s; 537/.2
• Soggetto topico: Tiling (Mathematics); Electrostatics; Statistical mechanics
• Note generali: "Volume 178, number 839 (third of 5 numbers)."
• Nota di bibliografia: Includes bibliographical references (page 144).
• Nota di contenuto: ""Contents""; ""Abstract""; ""Part A. A Random Tiling Model for Two Dimensional Electrostatics""; ""1. Introduction""; ""2. Definitions, statement of results and physical interpretation""; ""3. Reduction to boundary-influenced correlations""; ""4. A simple product formula for correlations along the boundary""; ""5. A (2m+2n)-fold sum for Ï?[sub(b)]""; ""6. Separation of the (2m+2n)-fold sum for Ï?[sub(b)] in terms of 4mn-fold integrals""; ""7. The asymptotics of the T[sup((n))]'s and T'[sup((n))]'s""; ""8. Replacement of the T[sup((k))]'s and T'[sup((k))]'s by their asymptotics"" ; ""9. Proof of Proposition 7.2""""10. The asymptotics of a multidimensional Laplace integral""; ""11. The asymptotics of Ï?[sub(b)]. Proof of Theorem 2.2""; ""12. Another simple product formula for correlations along the boundary""; ""13. The asymptotics of Ï?[sub(b)]. Proof of Theorem 2.1""; ""14. A conjectured general two dimensional Superposition Principle""; ""15. Three dimensions and concluding remarks""; ""Bibliography""; ""Part B. Plane Partitions I: A Generalization of MacMahon's Formula""; ""1. Introduction""; ""2. Two families of regions"" ; ""3. Reduction to simply-connected regions""""4. Recurrences for M(R[sub(1,q)](x)) and M(R[sub(1,q)](x))""; ""5. Proof of Proposition 2.1""; ""6. The guessing of M(R[sub(1,q)](x)) and M(R[sub(1,q)](x))""; ""Bibliography""
• Titolo autorizzato: A random tiling model for two dimensional electrostatics
• ISBN: 1-4704-0440-0
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910788750203321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; no. 839.