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- W2950659245 abstract "The local time of random walks associated with Gegenbauer polynomials $P_n^{(alpha)}(x), xin [-1,1]$ is studied in the recurrent case: $alphain [-frac{1}{2},0]$. When $alpha$ is nonzero, the limit distribution is given in terms of a Mittag-Leffler distribution. The proof is based on a local limit theorem for the random walk associated with Gegenbauer polynomials. As a by-product, we derive the limit distribution of the local time of some particular birth and death Markov chains on $bbN$." @default.
- W2950659245 created "2019-06-27" @default.
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- W2950659245 date "2010-05-25" @default.
- W2950659245 modified "2023-09-26" @default.
- W2950659245 title "On the local time of random walks associated with Gegenbauer polynomials" @default.
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