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Average linking numbers

Published online by Cambridge University Press:  01 December 1999

GONZALO CONTRERAS  and
RENATO ITURRIAGA
GONZALO CONTRERAS
Affiliation:
CIMAT, A.P. 402, 36.000, Guanajuato, Gto, Mexico (e-mail: gonzalo, renato@fractal.cimat.mx)
RENATO ITURRIAGA
Affiliation:
CIMAT, A.P. 402, 36.000, Guanajuato, Gto, Mexico (e-mail: gonzalo, renato@fractal.cimat.mx)
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Abstract

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We prove the existence of the average linking number, also called the Hopf invariant, for any invariant measure under a differentiable flow on $S^3$ without singularities, which has no periodic orbit of positive measure.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 19 , Issue 6 , December 1999 , pp. 1425 - 1435
Copyright
1999 Cambridge University Press