Reinforced Random Walks Under Memory Lapses
نویسندگان
چکیده
We introduce a one-dimensional random walk, which at each step performs reinforced dynamics with probability $\theta$ and $1 - \theta$, the walk independent of past. analyse its asymptotic behaviour, showing law large numbers characterizing diffusive superdiffusive regions. prove central limit theorems iterated logarithm based on martingale approach.
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2021
ISSN: ['0022-4715', '1572-9613']
DOI: https://doi.org/10.1007/s10955-021-02826-x