9 citations · 54 across the 26 of their papers we have counts for
5 papers · 1 filter
Ronkin/Zeta Correspondence
Takashi Komatsu, Norio Konno, Iwao Sato +1
The Ronkin function was defined by Ronkin in the consideration of the zeros of almost periodic function. Recently, this function has been used in various research fields in mathema…
A discontinuity of the energy of quantum walk in impurities
Kenta Higuchi, Takashi Komatsu, Norio Konno +2
We consider the discrete-time quantum walk whose local dynamics is denoted by at the perturbed region and free at the other positions. We obtain the station…
Asymptotic properties of generalized eigenfunctions for multi-dimensional quantum walks
Takashi Komatsu, Norio Konno, Hisashi Morioka +1
We construct a distorted Fourier transformation associated with the multi-dimensional quantum walk. In order to avoid the complication of notations, almost all of our arguments are…
Generalized eigenfunctions for quantum walks via path counting approach
Takashi Komatsu, Norio Konno, Hisashi Morioka +1
We consider the time-independent scattering theory for time evolution operators of one-dimensional two-state quantum walks. The scattering matrix associated with the position-depen…
Stationary measure for three-state quantum walk
Takako Endo, Takashi Komatsu, Norio Konno +1
We focus on the three-state quantum walk(QW) in one dimension. In this paper, we give the stationary measure in general condition, originated from the eigenvalue problem. Firstly,…