5 citations · 13 across the 6 of their papers we have counts for
6 papers
Scaling limits of solitons in the box-ball system
Stefano Olla, Makiko Sasada, Hayate Suda
We study the space-time scaling limits of solitons in the box-ball system with random initial distribution. In particular, we show that any recentered tagged soliton converges to a…
Seat number configuration of the box-ball system, and its relation to the 10-elimination and invariant measures
Hayate Suda
The box-ball system (BBS) is a soliton cellular automaton introduced in [TS], and it is known that the dynamics of the BBS can be linearized by several methods. Recently, a new lin…
Relationships between two linearizations of the box-ball system : Kerov-Kirillov-Reshetikhin bijection and slot configuration
Matteo Mucciconi, Makiko Sasada, Tomohiro Sasamoto +1
The box-ball system (BBS), which was introduced by Takahashi and Satsuma in 1990, is a soliton cellular automaton. Its dynamics can be linearized by a few methods, among which the…
Superballistic and superdiffusive scaling limits of stochastic harmonic chains with long-range interactions
Hayate Suda
We consider one-dimensional infinite chains of harmonic oscillators with random exchanges of momenta and long-range interaction potentials which have polynomial decay rate $|x|^{-θ…
A family of fractional diffusion equations derived from stochastic harmonic chains with long-range interactions
Hayate Suda
We consider one-dimensional infinite chains of harmonic oscillators with stochastic perturbations and long-range interactions which have polynomial decay rate $|x|^{-θ}, x \to \inf…
5/6-Superdiffusion of energy for coupled charged harmonic oscillators in a magnetic field
Keiji Saito, Makiko Sasada, Hayate Suda
We consider a one-dimensional infinite chain of coupled charged har- monic oscillators in a magnetic field with a small stochastic perturbation of order . We prove that for a sp…