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Random walks and orthogonal polynomials: some challenges

概率论 2007-05-23 v1 谱理论

摘要

The study of several naturally arising "nearest neighbours" random walks benefits from the study of the associated orthogonal polynomials and their orthogonality measure. I consider extensions of this approach to a larger class of random walks. This raises a number of open problems.

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引用

@article{arxiv.math/0703375,
  title  = {Random walks and orthogonal polynomials: some challenges},
  author = {F. Alberto Grunbaum},
  journal= {arXiv preprint arXiv:math/0703375},
  year   = {2007}
}