137 citations · 641 across the 28 of their papers we have counts for
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Vicious walk with a wall, noncolliding meanders, and chiral and Bogoliubov-deGennes random matrices
Makoto Katori, Hideki Tanemura, Taro Nagao +1
Spatially and temporally inhomogeneous evolution of one-dimensional vicious walkers with wall restriction is studied. We show that its continuum version is equivalent with a noncol…
Scaling limit of vicious walks and two-matrix model
Makoto Katori, Hideki Tanemura
We consider the diffusion scaling limit of the one-dimensional vicious walker model of Fisher and derive a system of nonintersecting Brownian motions. The spatial distribution of $…
Dynamical Correlations among Vicious Random Walkers
Taro Nagao, Makoto Katori, Hideki Tanemura
Nonintersecting motion of Brownian particles in one dimension is studied. The system is constructed as the diffusion scaling limit of Fisher's vicious random walk. N particles star…
Scaling Limit of Vicious Walkers, Gaussian Random Matrix Ensembles, and Dyson Brownian Motions
M. Katori, H. Tanemura
We study systems of interacting Brownian particles in one dimension constructed as the diffusion scaling limits of Fisher's vicious walk models. We define two types of nonintersect…
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…