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- W4287394522 abstract "In this article we establish for the superdiffusive regime $p in (1/2,1)$ that the fluctuations of a general step-reinforced random walk around $a_n hat{W}$, where $(a_n)_{n in mathbb{N}}$ is a non-negative sequence of order $n^p$ and $hat{W}$ is a non-degenerate random variable, is Gaussian. This extends a known result by Kubota and Takei for the elephant random walk to the more general setting of step-reinforced random walks. Further, we provide an application of the asymptotic normality of $hat{S}$ around $a_n hat{W}$ to reinforced empirical processes as studied recently by Bertoin, which yields a refined Donsker's invariance principle." @default.
- W4287394522 created "2022-07-25" @default.
- W4287394522 creator A5047791863 @default.
- W4287394522 date "2021-01-04" @default.
- W4287394522 modified "2023-09-23" @default.
- W4287394522 title "Asymptotic Normality of Superdiffusive Step-Reinforced Random Walks" @default.
- W4287394522 doi "https://doi.org/10.48550/arxiv.2101.00906" @default.
- W4287394522 hasPublicationYear "2021" @default.
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