GCOE Seminars
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2010/12/03
11:00-12:00 Room #270 (Graduate School of Math. Sci. Bldg.)
Jarmo Hietarinta (University of Turku)
Discrete Integrability and Consistency-Around-the-Cube (CAC) (ENGLISH)
Jarmo Hietarinta (University of Turku)
Discrete Integrability and Consistency-Around-the-Cube (CAC) (ENGLISH)
[ Abstract ]
For integrable lattice equations we can still apply many integrability criteria that are regularly used for continuous systems, but there are also some that are specific for discrete systems. One particularly successful discrete integrability criterion is the multidimensional consistency, or CAC. We review the classic results of Nijhoff and of Adler-Bobenko-Suris and then present some extensions.
For integrable lattice equations we can still apply many integrability criteria that are regularly used for continuous systems, but there are also some that are specific for discrete systems. One particularly successful discrete integrability criterion is the multidimensional consistency, or CAC. We review the classic results of Nijhoff and of Adler-Bobenko-Suris and then present some extensions.