137 citations · 190 across the 5 of their papers we have counts for
4 papers · 1 filter
Nonintersecting Paths, Noncolliding Diffusion Processes and Representation Theory
Makoto Katori, Hideki Tanemura
The system of one-dimensional symmetric simple random walks, in which none of walkers have met others in a given time period, is called the vicious walker model. It was introduced…
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…
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…