Two Point Correlation Functions for a Periodic Box-Ball System

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.

Bibliographic Details
Main Authors: Jun Mada, Tetsuji Tokihiro
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2011-03-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
correlation function
box-ball system
Online Access:http://dx.doi.org/10.3842/SIGMA.2011.027
id doaj-0458f57a95b9459bb47f2f889715f097
record_format Article
spelling doaj-0458f57a95b9459bb47f2f889715f0972020-11-24T23:14:50ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592011-03-017027Two Point Correlation Functions for a Periodic Box-Ball SystemJun MadaTetsuji TokihiroWe 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. http://dx.doi.org/10.3842/SIGMA.2011.027correlation functionbox-ball system
collection DOAJ
language English
format Article
sources DOAJ
author Jun Mada
Tetsuji Tokihiro
spellingShingle Jun Mada
Tetsuji Tokihiro
Two Point Correlation Functions for a Periodic Box-Ball System
Symmetry, Integrability and Geometry: Methods and Applications
correlation function
box-ball system
author_facet Jun Mada
Tetsuji Tokihiro
author_sort Jun Mada
title Two Point Correlation Functions for a Periodic Box-Ball System
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
publisher National Academy of Science of Ukraine
series Symmetry, Integrability and Geometry: Methods and Applications
issn 1815-0659
publishDate 2011-03-01
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.
topic correlation function
box-ball system
url http://dx.doi.org/10.3842/SIGMA.2011.027
work_keys_str_mv AT junmada twopointcorrelationfunctionsforaperiodicboxballsystem
AT tetsujitokihiro twopointcorrelationfunctionsforaperiodicboxballsystem
_version_ 1725593203912998912

Similar Items