The scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I.
American Math. Soc.
2009
|
| Series: | Memoirs of the American Mathematical Society
935 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 199, number 935 (end of volume)." Literaturverz. S. 99 - 100 |
| Physical Description: | IX, 100 S. graph. Darst. |
| ISBN: | 9780821843260 |
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| 245 | 1 | 0 | |a The scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions |c Mihai Ciucu |
| 264 | 1 | |a Providence, R.I. |b American Math. Soc. |c 2009 | |
| 300 | |a IX, 100 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 935 | |
| 500 | |a "Volume 199, number 935 (end of volume)." | ||
| 500 | |a Literaturverz. S. 99 - 100 | ||
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| 650 | 4 | |a Statistical mechanics | |
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Record in the Search Index
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| adam_text | Titel: The scaling limit of the correlation of holes on the triangular lattice with periodic boundary condi
Autor: Ciucu, Mihai
Jahr: 2009
Contents
Abstract ix
Introduction 1
Chapter 1. Definition of ui and statement of main result 5
Chapter 2. Deducing Theorem 1.2 from Theorem 2.1 and Proposition 2.2 11
Chapter 3. A determinant formula for w 15
Chapter 4. An exact formula for Us(a,b) 19
Chapter 5. Asymptotic singularity and Newton s divided difference operator 27
Chapter 6. The asymptotics of the entries in the £/-part of M 37
Chapter 7. The asymptotics of the entries in the P-part of M 41
Chapter 8. The evaluation of det(M ) 49
Chapter 9. Divisibility of det(M ) by the powers of q — £ and q — Q~l 53
Chapter 10. The case q = 0 of Theorem 8.1, up to a constant multiple 57
Chapter 11. Divisibility of det(dMo) by the powers of
{x.i -Xj)-C±l(Vi - yj) - ah 61
Chapter 12. Divisibility of det(cLZtfo) by the powers of {x,i — Zj) — (,±l{y — Wj) 67
Chapter 13. The proofs of Theorem 2.1 and Proposition 2.2 73
Chapter 14. The case of arbitrary slopes 75
Chapter 15. Random covering surfaces and physical interpretation 81
Appendix. A determinant evaluation 87
Bibliography 99
|
| any_adam_object | 1 |
| author | Ciucu, Mihai 1968- |
| author_GND | (DE-588)138737010 |
| author_facet | Ciucu, Mihai 1968- |
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| building | Verbundindex |
| bvnumber | BV035477914 |
| callnumber-first | Q - Science |
| callnumber-label | QC174 |
| callnumber-raw | QC174.85.S34 |
| callnumber-search | QC174.85.S34 |
| callnumber-sort | QC 3174.85 S34 |
| callnumber-subject | QC - Physics |
| classification_rvk | SI 130 |
| ctrlnum | (OCoLC)297406436 (DE-599)BVBBV035477914 |
| dewey-full | 530.13 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.13 |
| dewey-search | 530.13 |
| dewey-sort | 3530.13 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV035477914 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:36:10Z |
| institution | BVB |
| isbn | 9780821843260 |
| language | English |
| lccn | 2008055522 |
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| physical | IX, 100 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Ciucu, Mihai 1968- Verfasser (DE-588)138737010 aut The scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions Mihai Ciucu Providence, R.I. American Math. Soc. 2009 IX, 100 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 935 "Volume 199, number 935 (end of volume)." Literaturverz. S. 99 - 100 Combinatória larpcal Mecânica estatística larpcal Scaling laws (Statistical physics) Bethe-ansatz technique Tiling (Mathematics) Statistical mechanics Bethe-Ansatz (DE-588)4121011-6 gnd rswk-swf Skalierungsgesetz (DE-588)4205012-1 gnd rswk-swf Skalierungsgesetz (DE-588)4205012-1 s Bethe-Ansatz (DE-588)4121011-6 s DE-604 Memoirs of the American Mathematical Society 935 (DE-604)BV008000141 935 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017397501&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ciucu, Mihai 1968- The scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions Memoirs of the American Mathematical Society Combinatória larpcal Mecânica estatística larpcal Scaling laws (Statistical physics) Bethe-ansatz technique Tiling (Mathematics) Statistical mechanics Bethe-Ansatz (DE-588)4121011-6 gnd Skalierungsgesetz (DE-588)4205012-1 gnd |
| subject_GND | (DE-588)4121011-6 (DE-588)4205012-1 |
| title | The scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions |
| title_auth | The scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions |
| title_exact_search | The scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions |
| title_full | The scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions Mihai Ciucu |
| title_fullStr | The scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions Mihai Ciucu |
| title_full_unstemmed | The scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions Mihai Ciucu |
| title_short | The scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions |
| title_sort | the scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions |
| topic | Combinatória larpcal Mecânica estatística larpcal Scaling laws (Statistical physics) Bethe-ansatz technique Tiling (Mathematics) Statistical mechanics Bethe-Ansatz (DE-588)4121011-6 gnd Skalierungsgesetz (DE-588)4205012-1 gnd |
| topic_facet | Combinatória Mecânica estatística Scaling laws (Statistical physics) Bethe-ansatz technique Tiling (Mathematics) Statistical mechanics Bethe-Ansatz Skalierungsgesetz |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017397501&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT ciucumihai thescalinglimitofthecorrelationofholesonthetriangularlatticewithperiodicboundaryconditions |