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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2011 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2011
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146783 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| _version_ | 1862670477493796864 |
|---|---|
| author | Mada, J. Tokihiro, T. |
| author_facet | Mada, J. Tokihiro, T. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-07T15:31:11Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146783 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T15:31:11Z |
| publishDate | 2011 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Two Point Correlation Functions for a Periodic Box-Ball System Mada, J. Tokihiro, T. |
| title | 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_short | Two Point Correlation Functions for a Periodic Box-Ball System |
| title_sort | two point correlation functions for a periodic box-ball system |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146783 |
| work_keys_str_mv | AT madaj twopointcorrelationfunctionsforaperiodicboxballsystem AT tokihirot twopointcorrelationfunctionsforaperiodicboxballsystem |