Random walks and orthogonal polynomials: some challenges

2007/03/13 by F. Alberto Grünbaum, Grunbaum, F. Alberto · 2 citations
Mathematics · #Mathematical functions and polynomials #Mathematical Dynamics and Fractals #Functional Equations Stability Results

paper · pdf · doi:10.48550/arxiv.math/0703375

Abstract

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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