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math.PR2024★ 1 cited
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…
math.PR2019★ 2 cited
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…
math.PR2018★ 5 cited
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…