Random walk polynomials and random walk measures

DOI10.1016/0377-0427(93)90162-5zbMath0789.60056OpenAlexW2167484019MaRDI QIDQ1318423

Erik A. van Doorn, Pauline Schrijner

Publication date: 6 June 1994

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(93)90162-5

zbMATH Keywords

orthogonal polynomialsrandom walkChristoffel functionspolynomial sequencerandom walk measure

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50)

Related Items (9)

On the strong ratio limit property for discrete-time birth-death processes ⋮ How many random walks correspond to a given set of return probabilities to the origin? ⋮ Expansions and characterizations of sieved random walk polynomials ⋮ On the spectrum of tridiagonal operators and the support of orthogonalization measures ⋮ Some generalized Jacobi polynomials. ⋮ First return probabilities of birth and death chains and associated orthogonal polynomials ⋮ On a property of random walk polynomials involving Christoffel functions ⋮ Analysis of random walks using orthogonal polynomials ⋮ On the support of the measure of orthogonality of a class of orthogonal polynomials.

Cites Work

• Random walks
• Géza Freud, orthogonal polynomials and Christoffel functions. A case study
• Representations and bounds for zeros of orthogonal polynomials and eigenvalues of sign-symmetric tri-diagonal matrices
• An application of orthogonal polynomials to random walks
• On Oscillation Properties and the Interval of Orthogonality of Orthogonal Polynomials
• Strong ratio limit property and R-recurrence of reversible Markov chains
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