189 citations · 1.9k across the 148 of their papers we have counts for
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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…
IPS/Zeta Correspondence for the Domany-Kinzel model
Chusei Kiumi, Norio Konno, Yuki Oshima
Previous studies presented zeta functions by the Konno-Sato theorem or the Fourier analysis for one-particle models, including random walks, correlated random walks, quantum walks,…
Return probability of quantum and correlated random walks
Chusei Kiumi, Norio Konno, Shunya Tamura
The analysis of the return probability is one of the most essential and fundamental topics in the study of classical random walks. In this paper, we study the return probability of…
An analogue of the Riemann Hypothesis via quantum walks
Norio Konno
We consider an analogue of the well-known Riemann Hypothesis based on quantum walks on graphs with the help of the Konno-Sato theorem. Furthermore, we give some examples for comple…
Comfortable place for quantum walkers on finite path
Yoshihiro Anahara, Norio Konno, Hisashi Morioka +1
We consider the stationary state of a quantum walk on the finite path, where the sink and source are set at the left and right boundaries. The quantum coin is uniformly placed at e…
Mahler/Zeta Correspondence
Takashi Komatsu, Norio Konno, Iwao Sato +1
The Mahler measure was introduced by Mahler in the study of number theory. It is known that the Mahler measure appears in different areas of mathematics and physics. On the other h…
A Generalized Grover/Zeta Correspondence
Takashi Komatsu, Norio Konno, Iwao Sato +1
We introduce a generalized Grover matrix of a graph and present an explicit formula for its characteristic polynomial. As a corollary, we give the spectra for the generalized Grove…