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Le problème de Buffon–Synge pour une corde

Published online by Cambridge University Press:  01 July 2016

C. Donati-Martin
C. Donati-Martin*
Affiliation:
Université de Provence
*
∗Postal address: Mathématiques, case 64, Université de Provence, 3 place Victor Hugo, 13331 Marseille Cedex, France.
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Abstract

This paper deals with the thrown string problem posed by Synge [12]. The models studied are those of Willenborg [14] and Kingman [7]. The convergence results obtained are complementary to those of Kingman, although they are derived by quite different methods involving the use of martingales.

Keywords

BROWNIAN MOTIONORNSTEIN–UHLENBECK BRIDGEMARTINGALESSTRICT CONVERGENCEKOLMOGOROV CRITERIONBURKHOLDER–DAVIS-GUNDY INEQUALITIESLIMIT LAWS
Type
Research Article
Information
Advances in Applied Probability , Volume 22 , Issue 2 , June 1990 , pp. 375 - 395
Copyright
Copyright © Applied Probability Trust 1990 

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References

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