137 citations · 190 across the 5 of their papers we have counts for
5 papers
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…
Symmetry of matrix-valued stochastic processes and noncolliding diffusion particle systems
Makoto Katori, Hideki Tanemura
As an extension of the theory of Dyson's Brownian motion models for the standard Gaussian random-matrix ensembles, we report a systematic study of hermitian matrix-valued processes…
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…