Two Point Correlation Functions for a Periodic Box-Ball System
We investigate correlation functions in a periodic box-ball system. For the second and the third nearest neighbor correlation functions, we give explicit formulae obtained by combinatorial methods. A recursion formula for a specific N-point functions is also presented.
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2011 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2011
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146783 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Two Point Correlation Functions for a Periodic Box-Ball System / J. Mada, T. Tokihiro // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 8 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-146783 |
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Mada, J. Tokihiro, T. 2019-02-11T15:05:57Z 2019-02-11T15:05:57Z 2011 Two Point Correlation Functions for a Periodic Box-Ball System / J. Mada, T. Tokihiro // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 8 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 37B15; 37K10; 81R12; 82B20 DOI:10.3842/SIGMA.2011.027 https://nasplib.isofts.kiev.ua/handle/123456789/146783 We investigate correlation functions in a periodic box-ball system. For the second and the third nearest neighbor correlation functions, we give explicit formulae obtained by combinatorial methods. A recursion formula for a specific N-point functions is also presented. This paper is a contribution to the Proceedings of the Conference “Integrable Systems and Geometry” (August 12–17, 2010, Pondicherry University, Puducherry, India). The full collection is available at http://www.emis.de/journals/SIGMA/ISG2010.html. The authors wish to thank Professor Atsushi Nagai for useful comments. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Two Point Correlation Functions for a Periodic Box-Ball System Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Two Point Correlation Functions for a Periodic Box-Ball System |
| spellingShingle |
Two Point Correlation Functions for a Periodic Box-Ball System Mada, J. Tokihiro, T. |
| title_short |
Two Point Correlation Functions for a Periodic Box-Ball System |
| title_full |
Two Point Correlation Functions for a Periodic Box-Ball System |
| title_fullStr |
Two Point Correlation Functions for a Periodic Box-Ball System |
| title_full_unstemmed |
Two Point Correlation Functions for a Periodic Box-Ball System |
| title_sort |
two point correlation functions for a periodic box-ball system |
| author |
Mada, J. Tokihiro, T. |
| author_facet |
Mada, J. Tokihiro, T. |
| publishDate |
2011 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
We investigate correlation functions in a periodic box-ball system. For the second and the third nearest neighbor correlation functions, we give explicit formulae obtained by combinatorial methods. A recursion formula for a specific N-point functions is also presented.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/146783 |
| citation_txt |
Two Point Correlation Functions for a Periodic Box-Ball System / J. Mada, T. Tokihiro // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 8 назв. — англ. |
| work_keys_str_mv |
AT madaj twopointcorrelationfunctionsforaperiodicboxballsystem AT tokihirot twopointcorrelationfunctionsforaperiodicboxballsystem |
| first_indexed |
2025-12-07T15:31:11Z |
| last_indexed |
2025-12-07T15:31:11Z |
| _version_ |
1850864012099584000 |