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MaPhySto
Centre for Mathematical Physics and Stochastics
Department of Mathematical Sciences, University of Aarhus

Funded by The Danish National Research Foundation




MPS-RR 1999-38
October 1999




Laser Cooling and Stochastics

by:

Ole E. Barndorff-Nielsen

Fred Espen Benth

Abstract

In the statistical analysis of cooling and trapping of atoms by a combination of laser and magnetic field technology, Aspect, Bardou, Bouchaud and Cohen-Tannoudji (1994) showed that Lévy flights is the key tool. A review of their analysis, from the point of view of renewal theory and occupation times for stochastic processes, is given here and some further analysis provided. Brief discussions of two related types of models are also given.

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This paper has now been published in In M.C.M. de Gunst, C.A.J. Klaassen and A.W. van der Vaart (Eds.): State of the Art in Probability and Mathematical Statistics; Festschrift for Willem R. van Zwet. Lecture Notes - Monograph Series. Inst. Mathematical Statistics. (2000), 50-71..