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An introduction to multivariate Krawtchouk polynomials and their applications

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arxiv 1309.0112 v3 pith:5YQEMMAG submitted 2013-08-31 math.PR

Persi Diaconis , Robert Griffiths This is my paper · ORCID
classification math.PR
keywords polynomialsintroductionkrawtchoukmultinomialmultivariateapplicationsassociatedballs
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Orthogonal polynomials for the multinomial distribution m(x, p) of N balls dropped into d boxes (box i has probability p(i)) are called multivariate Krawtchouk polynomials. This paper gives an introduction to their properties, collections of natural Markov chains which they explicitly diagonalize and associated bivariate multinomial distributions.

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  1. Exactly solvable multicomponent spinless fermions

    hep-th 2025-02 conditional novelty 5.0 of 10

    Four exactly solvable multicomponent spinless fermion models are constructed from multivariate Krawtchouk, Meixner, and two Rahman-like polynomial families.

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