Like Sparrows on a Clothes Line: The Self-Organization of Random Number Sequences
| dc.creator | Szpiro, George G. | |
| dc.date | 1994-02-14 | |
| dc.date.accessioned | 2026-07-07T09:05:28Z | |
| dc.date.available | 2026-07-07T09:05:28Z | |
| dc.description | We study sequences of random numbers {Z[1],Z[2],Z[3],...,Z[n]} -- which can be considered random walks with reflecting barriers -- and define their "types" according to whether Z[i] > Z[i+1], (a down-movement), or Z[i] < Z[i+1] (up-movement). This paper examines the means, xi, to which the Zi converge, when a large number of sequences of the same type is considered. It is shown that these means organize themselves in such a way that, between two turning points of the sequence, they are equidistant from one another. We also show that m steps in one direction tend to offset one step in the other direction, as m -> infinity. Key words:random number sequence, self-organization, random walk, reflecting barriers. | |
| dc.description | 7 pages Ascii. Equations and figures are available by mail or fax from the author | |
| dc.identifier | https://arxiv.org/abs/adap-org/9402002 | |
| dc.identifier | http://arxiv.org/abs/adap-org/9402002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149688 | |
| dc.subject | Adaptation and Self-Organizing Systems | |
| dc.title | Like Sparrows on a Clothes Line: The Self-Organization of Random Number Sequences | |
| dc.type | text |