Abstract
The exact analytic result is obtained for the Fourier transform of the generating functionF(R,s)=∑ ∞ n=0 s n P(R,n), whereP(R,n) is the probability density for the end-to-end distanceR inn steps of a random walk with persistence. The moments 〈R 2(n)〉, 〈R 4(n)〉, and 〈R 6(n)〉 are calculated and approximate results forP(R,n) and 〈R −1(n)〉 are given.
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Claes, I., Van den Broeck, C. Random walk with persistence. J Stat Phys 49, 383–392 (1987). https://doi.org/10.1007/BF01009970
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DOI: https://doi.org/10.1007/BF01009970