29 citations · 35 across the 17 of their papers we have counts for
4 papers · 1 filter
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…
Dynamics of the box-ball system with random initial conditions via Pitman's transformation
David A. Croydon, Tsuyoshi Kato, Makiko Sasada +1
The box-ball system (BBS), introduced by Takahashi and Satsuma in 1990, is a cellular automaton that exhibits solitonic behaviour. In this article, we study the BBS when started fr…
Hydrodynamic limit for a facilitated exclusion process
Oriane Blondel, Clément Erignoux, Makiko Sasada +1
We study the hydrodynamic limit for a periodic -dimensional exclusion process with a dynamical constraint, which prevents a particle at site from jumping to site unl…
Convergence of a degenerate microscopic dynamics to the porous medium equation
Oriane Blondel, Clément Cancès, Makiko Sasada +1
We derive the porous medium equation from an interacting particle system which belongs to the family of exclusion processes, with nearest neighbor exchanges. The particles follow a…