5 citations · 11 across the 9 of their papers we have counts for
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Dispersive estimates for quantum walks on 1D lattice
Masaya Maeda, Hironobu Sasaki, Etsuo Segawa +2
We consider quantum walks with position dependent coin on 1D lattice . The dispersive estimate is shown…
Dynamics of solitons for nonlinear quantum walks
Masaya Maeda, Hironobu Sasaki, Etsuo Segawa +2
We present some numerical results for nonlinear quantum walks (NLQWs) studied by the authors analytically \cite{MSSSS18DCDS, MSSSS18QIP}. It was shown that if the nonlinearity is w…
Scattering and inverse scattering for nonlinear quantum walks
Masaya Maeda, Hironobu Sasaki, Etsuo Segawa +2
We study large time behavior of quantum walks (QWs) with self-dependent (nonlinear) coin. In particular, we show scattering and derive the reproducing formula for inverse scatterin…
Weak limit theorem for a nonlinear quantum walk
Masaya Maeda, Hironobu Sasaki, Etsuo Segawa +2
This paper continues the study of large time behavior of a nonlinear quantum walk begun in arXiv:1801.03214. In this paper, we provide a weak limit theorem for the distribution of…