1 citations · 1 across the 7 of their papers we have counts for
8 papers
Hadamard Rigidity of Positive Sojourn Time Distributions for Rotation Coins
Shunya Tamura, Tomoki Yamagami
We study the distribution of the positive sojourn time for a one-dimensional two state quantum walk, conditioned on return to the origin. Konno showed that, for the Hadamard walk,…
Average hitting times and recurrence structures II: Cartesian products of powers of cycles and regular graphs
Tsuyoshi Miezaki, Shunya Tamura
In our previous work \cite{MiezakiTamura2026}, we clarified the second-order linear recurrence structures appearing in the average hitting times on the -th power graph o…
Average Hitting Times and Recurrence Structures I: Powers of Cycle Graphs
Tsuyoshi Miezaki, Shunya Tamura
We investigate the average hitting times of simple random walks on the -th power graph of the cycle graph . First, we show that the average hitting times are charac…
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…
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…
On the average hitting times of the squares of cycles
Yoshiaki Doi, Norio Konno, Tomoki Nakamigawa +6
The exact formula for the average hitting time (HT, as an abbreviation) of simple random walks from one vertex to any other vertex on the square of an -vertex cycle grap…
Walk/Zeta Correspondence for quantum and correlated random walks
Norio Konno, Shunya Tamura
In this paper, following the recent paper on Walk/Zeta Correspondence by the first author and his coworkers, we compute the zeta function for the three- and four-state quantum walk…