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An analytical bound on the asymmetry of a section of a typical three-dimensional brownian path

Published online by Cambridge University Press:  26 February 2010

Kalvis M. Jansons
Affiliation:
Department of Mathematics, University College London, Gower Street, London, WC1E 6BT.
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Extract

This study extends earlier work on the characterization of the asymmetry of a section of a typical three-dimensional Brownian path using the moment of inertia tensor about the centre of mass. A new method for determining an upper bound on the ensemble average of the smallest eigenvalue is presented. This work has applications to polymer science, since single chain polymer molecules are often modelled as sections of Brownian paths.

MSC classification

Type
Research Article
Copyright
Copyright University College London 1989

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