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- W2236047881 abstract "It is well-known that the simple symmetric random walk of dimension 1 or 2 is recurrent, i.e. being started from the origin, it returns to the original point infinitely many times. Simple symmetric random walks of dimension higher than 2 are not recurrent. The present paper derives simple limiting recurrence relations, which enable us to find an approximate value of the eventual return probability for a simple symmetric random walk of an arbitrary dimension $d$. The numerical calculations show that the eventual return probabilities for the simple symmetric random walks in ${Z}^3$ and ${Z}^4$ are close to 1." @default.
- W2236047881 created "2016-06-24" @default.
- W2236047881 creator A5066915112 @default.
- W2236047881 date "2016-01-11" @default.
- W2236047881 modified "2023-09-27" @default.
- W2236047881 title "Eventual return probability in multidimensional random walks" @default.
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- W2236047881 hasPublicationYear "2016" @default.
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