Strathprints Home | Open Access | Browse | Search | User area | Copyright | Help | Library Home | SUPrimo

The evolution of a single-paired immigration death process

Gillespie, C.S. and Renshaw, E. (2008) The evolution of a single-paired immigration death process. Journal of Physics A: Mathematical and Theoretical, 41 (35). p. 355002. ISSN 1751-8113

Full text not available in this repository. (Request a copy from the Strathclyde author)

Abstract

The general question of whether it is possible to determine the fundamental structure of a hidden stochastic process purely from counts of escaping individuals is of immense importance in fields such as quantum optics, where externally based radiation elucidates the nature of the electromagnetic radiation process. Although the general probability structure has been derived in an earlier paper in terms of the joint probability generating function of the (hidden) population size and (known) counts, its complex nature hides some particularly intriguing features of the underlying process. Our current objective is therefore to examine specific immigration regimes in order to highlight the underlying saw-tooth behaviour of the underlying probability and moment structures. The paper first explores paired- and triple-immigration schemes, and then introduces birth in order to showthat the technique is equally successful in exposing hidden multiplicative effects. These analyses uncover novel and highly illuminating features, and emphasize the potential of this population-counting construct for expanding into more complex multi-type situations.

Item type: Article
ID code: 19558
Keywords: quantum optics, hidden stochastic process, Optics. Light, Probabilities. Mathematical statistics
Subjects: Science > Physics > Optics. Light
Science > Mathematics > Probabilities. Mathematical statistics
Department: Faculty of Science > Mathematics and Statistics
Related URLs:
    Depositing user: Strathprints Administrator
    Date Deposited: 31 May 2010 14:24
    Last modified: 17 Jul 2013 00:40
    URI: http://strathprints.strath.ac.uk/id/eprint/19558

    Actions (login required)

    View Item