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

University of Twente

Research output: Contribution to journal › Article › Academic

7 Citations (Scopus)

165 Downloads (Pure)

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 language	Undefined
Pages (from-to)	334-344
Journal	Physica A
Volume	122
Issue number	1-2
DOIs	https://doi.org/10.1016/0378-4371(83)90097-3
Publication status	Published - 1983

Keywords

IR-69215

Access to Document

10.1016/0378-4371(83)90097-3

Boersma83asymptotic

Cite this

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title = "Asymptotic expansions for a remarkable class of random walks",

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.",

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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.

KW - IR-69215

U2 - 10.1016/0378-4371(83)90097-3

DO - 10.1016/0378-4371(83)90097-3

M3 - Article

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VL - 122

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EP - 344

JO - Physica A

JF - Physica A

IS - 1-2

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