The distribution function for the maximal height of N non-intersecting Bessel paths

摘要

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.

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