Asymptotic expansions for a remarkable class of random walks

J. Boersma, F.W. Wiegel

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Abstract

This paper extends the research of Wiegel (J. Math. Phys. 21 (1980) 2111) on random walks which differ from free random walks through the occurrence of an extra weightfactor (−1) at every crossing of a half-line. Starting from a new closed-form expression for the weight distribution of these walks, we derive various integral representations and asymptotic expansions for the total weight of all walks.
Original languageUndefined
Pages (from-to)334-344
JournalPhysica A
Volume122
Issue number1-2
DOIs
Publication statusPublished - 1983

Keywords

  • IR-69215

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