137 citations · 220 across the 6 of their papers we have counts for
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Non-colliding system of Brownian particles as Pfaffian process
Makoto Katori
In the paper [7] we studied the temporally inhomogeneous system of non-colliding Brownian motions and proved that multi-time correlation functions are generally given by the quater…
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…
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…
Functional central limit theorems for vicious walkers
Makoto Katori, Hideki Tanemura
We consider the diffusion scaling limit of the vicious walker model that is a system of nonintersecting random walks. We prove a functional central limit theorem for the model and…