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

Research output: Contribution to journal › Article › Academic › peer-review

7 Citations (Scopus)

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	English
Pages (from-to)	334-344
Number of pages	11
Journal	Physica A: Statistical and Theoretical Physics
Volume	122
Issue number	1-2
DOIs	https://doi.org/10.1016/0378-4371(83)90097-3
Publication status	Published - 1983

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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.",

author = "J. Boersma and F.W. Wiegel",

year = "1983",

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T1 - Asymptotic expansions for a remarkable class of random walks

AU - Boersma, J.

AU - Wiegel, F.W.

PY - 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.

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

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

M3 - Article

SN - 0378-4371

VL - 122

SP - 334

EP - 344

JO - Physica A: Statistical and Theoretical Physics

JF - Physica A: Statistical and Theoretical Physics

IS - 1-2

ER -

Asymptotic expansions for a remarkable class of random walks

Abstract

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