Asymptotic expansions for a remarkable class of random walks

J. Boersma; F.W. Wiegel

doi:10.1016/0378-4371(83)90097-3

Asymptotic expansions for a remarkable class of random walks

J. Boersma
, F.W. Wiegel

Mathematics and Computer Science

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

7 Citaten (Scopus)

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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.

Originele taal-2	Engels
Pagina's (van-tot)	334-344
Aantal pagina's	11
Tijdschrift	Physica A: Statistical and Theoretical Physics
Volume	122
Nummer van het tijdschrift	1-2
DOI's	https://doi.org/10.1016/0378-4371(83)90097-3
Status	Gepubliceerd - 1983

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AB - 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.

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Asymptotic expansions for a remarkable class of random walks

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