Non-colliding system of Brownian particles as Pfaffian process
Katori, Makoto
arXiv, 0506186 / Harvested from arXiv
Text on arXiv
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 quaternion determinants in the sense of Dyson and Mehta. In this report we give another proof of the equivalent statement using Fredholm determinant and Fredholm pfaffian, and claim that the present system is a typical example of pfaffian processes.
Publié le : 2005-06-10
Classification:  Mathematics - Probability,  Mathematical Physics 
@article{0506186,
     author = {Katori, Makoto},
     title = {Non-colliding system of Brownian particles as Pfaffian process},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0506186}
}

Katori, Makoto. Non-colliding system of Brownian particles as Pfaffian process. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0506186/