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19992023
most citedOne-Dimensional Three-State Quantum Walk

189 citations · 1.9k across the 148 of their papers we have counts for

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5 papers · 1 filter

cond-mat.stat-mech2013★ 1 cited

Combinatorial and approximative analyses in a spatially random division process

Yukio Hayashi, Takayuki Komaki, Yusuke Ide +2

For a spatial characteristic, there exist commonly fat-tail frequency distributions of fragment-size and -mass of glass, areas enclosed by city roads, and pore size/volume in rando…

cond-mat.stat-mech2010★ 2 cited

Numerical study of a three-state host-parasite system on the square lattice

Takehisa Hasegawa, Norio Konno, Naoki Masuda

We numerically study the phase diagram of a three-state host-parasite model on the square lattice motivated by population biology. The model is an extension of the contact process,…

cond-mat.stat-mech2004★ 20 cited

Subcritical behavior in the alternating supercritical Domany-Kinzel dynamics

Naoki Masuda, Norio Konno

Cellular automata are widely used to model real-world dynamics. We show using the Domany-Kinzel probabilistic cellular automata that alternating two supercritical dynamics can resu…

cond-mat.stat-mech2004★ 52 cited

Return times of random walk on generalized random graphs

Naoki Masuda, Norio Konno

Random walks are used for modeling various dynamics in, for example, physical, biological, and social contexts. Furthermore, their characteristics provide us with useful informatio…

cond-mat.stat-mech1999★ 6 cited

Survival Probabilities for Discrete Time Models in One Dimension

Makoto Katori, Norio Konno, Hideki Tanemura

We consider survival probabilities for the discrete time process in one dimension, which is known as the Domany-Kinzel model. A convergence theorem for infinite systems can be obta…