137 citations · 220 across the 6 of their papers we have counts for
9 papers
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…
Quantum walks and orbital states of a Weyl particle
Makoto Katori, Soichi Fujino, Norio Konno
The time-evolution equation of a one-dimensional quantum walker is exactly mapped to the three-dimensional Weyl equation for a zero-mass particle with spin 1/2, in which each wave…
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…
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…