Fluctuations of the randomized box-ball system.

Seminario del Prof. H. Suda (Tohoku University)

The box-ball system (BBS) is a cellular automaton that exhibits the solitonic behavior.
In recent years, with the rapid progress in the study of the hydrodynamics of integrable
systems, there has been a growing interest in BBS with random initial distributions. In
this talk, we consider the fluctuations of the empirical measure of solitons around its
(generalized) hydrodynamic limit starting from a stationary distribution. This talk is
based on joint work with Pablo A. Ferrari, Stefano Olla and Makiko Sasada.