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- W3023284491 abstract "Random walks on N associated with orthogonal polynomials have properties similar to classical random walks on . In fact such processes have independent increments with respect to a hypergroup structure on with a convolution and a Fourier transform which is the basic tool for their study. We illustrate these ideas by giving a description of the asymptotic behaviour (CLT and ILL) of the random walks associated with Gegenbauer's polynomials. Moreover we can then use these random walks as a reference scale to deduce asymptotic properties of other Markov chains on via a comparison theorem which is of independent interest." @default.
- W3023284491 created "2020-05-13" @default.
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- W3023284491 date "1984-06-01" @default.
- W3023284491 modified "2023-09-23" @default.
- W3023284491 title "Comportement asymptotique des marches aleatoires associees aux polynomes de Gegenbauer et applications" @default.
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- W3023284491 doi "https://doi.org/10.2307/1427071" @default.
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