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Asymptotic expansions for a remarkable class of random walks

โœ Scribed by J. Boersma; F.W. Wiegel

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
358 KB
Volume
122
Category
Article
ISSN
0378-4371

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

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โœ Ido Dayan; Moshe Gitterman; George H. Weiss ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 502 KB

We define and calculate the entropy of some random walks which have two endpoints fixed, and for which displacements are allowed to take all possible values. An example is given in which the entropy can either be increased or decreased by imposing a constraint. It is also shown, by example, that whe