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Record Nr. |
UNINA9910827773803321 |
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Autore |
Ciucu Mihai <1968-> |
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Titolo |
A random tiling model for two dimensional electrostatics / / Mihai Ciucu |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2005] |
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©2005 |
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ISBN |
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Descrizione fisica |
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1 online resource (162 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 839 |
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Disciplina |
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Soggetti |
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Tiling (Mathematics) |
Electrostatics |
Statistical mechanics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 178, number 839 (third of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references (page 144). |
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Nota di contenuto |
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""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"" |
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""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"" |
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