44 citations · 48 across the 2 of their papers we have counts for
2 papers
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-mech2002★ 4 cited
Moments of vicious walkers and Möbius graph expansions
Makoto Katori, Naoaki Komatsuda
A system of Brownian motions in one-dimension all started from the origin and conditioned never to collide with each other in a given finite time-interval is studied. The…