Moments of random walk with fixed end point

Adam Lipowski and Dorota Lipowska

Physica A: Statistical Mechanics and its Applications, 1993, vol. 199, issue 1, 67-74

Abstract: It is shown that, for d-dimensional random walks with fixed end points, the rth moments at the ith step are rth order polynomials of i. The results are applicable to (1 + 1)-dimensional SOS models of interfaces.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:199:y:1993:i:1:p:67-74

DOI: 10.1016/0378-4371(93)90097-N

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