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A random tiling model for two dimensional electrostatics / / Mihai Ciucu
| A random tiling model for two dimensional electrostatics / / Mihai Ciucu |
| Autore | Ciucu Mihai <1968-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (162 p.) |
| Disciplina |
510 s
537/.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Tiling (Mathematics)
Electrostatics Statistical mechanics |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0440-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910481016003321 |
Ciucu Mihai <1968->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A random tiling model for two dimensional electrostatics / / Mihai Ciucu
| A random tiling model for two dimensional electrostatics / / Mihai Ciucu |
| Autore | Ciucu Mihai <1968-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (162 p.) |
| Disciplina |
510 s
537/.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Tiling (Mathematics)
Electrostatics Statistical mechanics |
| ISBN | 1-4704-0440-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910788750203321 |
|
Ciucu Mihai <1968->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A random tiling model for two dimensional electrostatics / / Mihai Ciucu
| A random tiling model for two dimensional electrostatics / / Mihai Ciucu |
| Autore | Ciucu Mihai <1968-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (162 p.) |
| Disciplina |
510 s
537/.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Tiling (Mathematics)
Electrostatics Statistical mechanics |
| ISBN | 1-4704-0440-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910827773803321 |
|
Ciucu Mihai <1968->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions / / Mihai Ciucu
| The scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions / / Mihai Ciucu |
| Autore | Ciucu Mihai <1968-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (118 pages) : illustrations |
| Disciplina | 530.13 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Scaling laws (Statistical physics)
Bethe-ansatz technique Tiling (Mathematics) Statistical mechanics |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0541-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480616703321 |
|
Ciucu Mihai <1968->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions / / Mihai Ciucu
| The scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions / / Mihai Ciucu |
| Autore | Ciucu Mihai <1968-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (118 pages) : illustrations |
| Disciplina | 530.13 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Scaling laws (Statistical physics)
Bethe-ansatz technique Tiling (Mathematics) Statistical mechanics |
| ISBN | 1-4704-0541-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910788855003321 |
|
Ciucu Mihai <1968->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions / / Mihai Ciucu
| The scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions / / Mihai Ciucu |
| Autore | Ciucu Mihai <1968-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (118 pages) : illustrations |
| Disciplina | 530.13 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Scaling laws (Statistical physics)
Bethe-ansatz technique Tiling (Mathematics) Statistical mechanics |
| ISBN | 1-4704-0541-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910817265803321 |
|
Ciucu Mihai <1968->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||