2019/08/02 by Dai, Dan, Yao, Luming
#33C47 #60J65 #FOS: Physical sciences #Mathematical Physics (math-ph)
paper · doi:10.48550/arxiv.1908.00736
In this paper, we consider N non-intersecting Bessel paths starting at x=a≥ 0, and conditioned to end at the origin x=0. We derive the explicit formula of the distribution function for the maximum height. Depending on the starting point a>0 or a=0, the distribution functions are also given in terms of the Hankel determinants associated with the multiple discrete orthogonal polynomials or discrete orthogonal polynomials, respectively.