Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-23T10:33:57.708Z Has data issue: false hasContentIssue false
  • English
  • Français

The likely antecedents of improbable events: optimal search strategies

Published online by Cambridge University Press:  17 February 2009

A. M. Fink  and
L. Bass
A. M. Fink
Affiliation:
Permanent address: Mathematics Department, Iowa State University, Ames, IA 50011, USA.
L. Bass
Affiliation:
Mathematics Department, University of Queensland, Australia
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We use the “Brownian Bridge” of Schrödinger to model a statistical search problem in which the initial and final distributions of a random motion are given. We raise the question of how to use this information to optimally reconstruct a likely past event.

Type
Research Article
Information
The ANZIAM Journal , Volume 34 , Issue 3 , January 1993 , pp. 257 - 273
Copyright
Copyright © Australian Mathematical Society 1993

References

[1]Schrödinger, E., “Über die Umkehrung der Naturgesetze”, Sitzber. d. Preussischen Akademie der Wissenschaften, Berlin (1931) 144–153.Google Scholar
[2]Moore, W. J., Schrödinger: life and thought, (Cambridge Univ. Press, 1989).CrossRefGoogle Scholar
[3]Hansen, Ron, The assassination of Jesse James by the coward Robert Ford, (Alfred Knopf, New York, 1983).Google Scholar
[4]Mitrinovic, D. S., Analytic inequalities, (New York, Springer Verlag, 1970).CrossRefGoogle Scholar
[5]Beurling, Arne, “An automorphism of product measures”, Annal of Math. 72 (1960) 189–200.Google Scholar
[6]Barut, A. O., Mathematical Reviews 88 (1988) 5044–5046.Google Scholar
[7]Zambrini, J. C., “Euclidean quantum mechanics”, Physical Review A 35 (1987) 3631–3649.Google Scholar