137 citations · 249 across the 7 of their papers we have counts for
4 papers · 1 filter
The structure of finite clusters in high intensity Poisson Boolean stick process
Rahul Roy, Hideki Tanemura
Sticks at one of different orientation are placed in an i.i.d. fashion at points of a Poisson point process of intensity . Sticks of the same direction have the same length, whi…
Noncolliding Brownian motions and Harish-Chandra formula
Makoto Katori, Hideki Tanemura
We consider a system of noncolliding Brownian motions introduced in our previous paper, in which the noncolliding condition is imposed in a finite time interval . This is a…
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…
Infinite systems of non-colliding Brownian particles
Makoto Katori, Taro Nagao, Hideki Tanemura
Non-colliding Brownian particles in one dimension is studied. Brownian particles start from the origin at time 0 and then they do not collide with each other until finite time…