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Workshop on box-ball systems from integrable systems and probabilistic perspectives
September 19-23, 2022

The box-ball system (BBS) introduced by Takahashi and Satsuma is one of the most basic ultra-discrete integrable systems, and has been studied from various viewpoints, such as crystal bases of quantum algebras, tropical geometry, combinatorics, and cellular-automaton. As a new perspective, discussions and analysis based on ideas from probability theory are being actively pursued. For instance, the application of Pitman's transformation, which is well-known to probabilists, has facilitated the study of the BBS and related discrete integrable systems started from random initial configurations. This workshop on the BBS will provide an opportunity for direct discussions amongst researchers pursuing work in the area, and will result in a strong push for further developments. The main topics of the workshop will include, but will not be limited to, the following.é

• Soliton decompositions

• Dynamics for infinite systems

• Invariant measures/effective speed

• Generalized Gibbs ensembles, generalized hydrodynamics

• Connections with other integrable systems

To participate in this workshop, please register for the thematic program by clicking on the register tab at the top of the page.