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

作者：Dai, Dan^*; Yao, Luming

来源：RAMANUJAN JOURNAL, 2023, 61(1): 111-134.

DOI：10.1007/s11139-022-00567-3

• Non-intersecting Bessel paths
• Maximum distribution
• Orthogonal polynomials
• Multiple orthogonal polynomials
• Hankel determinant

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.

• 单位
  复旦大学