137 citations · 453 across the 11 of their papers we have counts for
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cond-mat.stat-mech2008★ 41 cited
Maximum distributions of bridges of noncolliding Brownian paths
Naoki Kobayashi, Minami Izumi, Makoto Katori
The one-dimensional Brownian motion starting from the origin at time , conditioned to return to the origin at time and to stay positive during time interval ,…
cond-mat.stat-mech2003★ 44 cited
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…
cond-mat.stat-mech2001
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…