27 citations · 37 across the 3 of their papers we have counts for
3 papers
math.PR2005★ 1 cited
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…
quant-ph2005★ 27 cited
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…
math.PR2005★ 9 cited
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…