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math-ph2022
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,…
math-ph2022★ 1 cited
Spectral Analysis of Non-unitary Two-phase Quantum Walks in One Dimension
Chusei Kiumi, Kei Saito, Yohei Tanaka
It is recently shown by Asahara-Funakawa-Seki-Tanaka that existing index theory for chirally symmetric (discrete-time) quantum walks can be extended to the setting of non-unitary q…
math-ph2022
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…