Randomized box-ball systems, limit shape of soliton distributions and thermodynamic Bethe ansatz
A. Kuniba
Tokyo, komaba campus
Mon, Nov. 18th 2019, 11:00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers

The n-color box-ball system (BBS) is an integrable cellular automaton in one dimension. In the first part, I review its basic features including solitons, ultradiscretization, Yang-Baxter relation, and quantum group symmetry, etc. In the second part, I introduce a randomized version of the BBS and present a recent result on the limit shape of soliton distributions based on thermodynamic Bethe ansatz.

Contact : Vincent PASQUIER


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