Abstract
Extending an idea of Spitzer [2], a way to compute the moments of the time of escape from (−N,L) by a symmetric simple random walk is exhibited. It is shown that all these moments depend polynomially onL andN.
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References
Feller WAn introduction to Probability Theory and Its Applications (Wiley Eastern Ltd.) (1968)
Spitzer FPrinciples of Random Walk; (D van Nostrand and Co.) (1964)
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The research of this author was supported by the National Board of Higher Mathematics, Bombay, India
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Sengupta, A., Goswami, A. Moments of escape times of random walk. Proc. Indian Acad. Sci. (Math. Sci.) 109, 397–400 (1999). https://doi.org/10.1007/BF02837999
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DOI: https://doi.org/10.1007/BF02837999