Atsuo Kuniba: Generalized hydrodynamics in box-ball system ANNULÉ

par M. Atsuo Kuniba (University of Tokyo)

mercredi 18 mars 2020, 16:00 → 17:00 Europe/Paris

Box-ball system (BBS) is a distinguished example of
soliton cellular automaton in one dimension.
Its integrability has been studied extensively from the viewpoint of
quantum groups, Bethe ansatz, ultradiscretization and tropical geometry.
In this talk I introduce the generalized Gibbs ensemble of BBS solitons
and present several results related to thermodynamic Bethe ansatz
and generalized hydrodynamics.
They include exact solutions to the speed equation for solitons and
the stationary current, a novel connection of the speed to a scaled
period matrix of
the tropical Riemann theta function, explicit description of the
density plateaux
that emerge from domain wall initial conditions and so forth.
(Joint work with Grégoire Misguich and Vincent Pasquier.)