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On the asymptotic linking number
Author(s):
Thomas
Vogel
Journal:
Proc. Amer. Math. Soc.
131
(2003),
2289-2297.
MSC (2000):
Primary 57R25;
Secondary 37C10, 57R30, 76W05
Posted:
October 24, 2002
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Abstract:
We prove a theorem formulated by V. I. Arnold concerning a relation between the asymptotic linking number and the Hopf invariant of divergence-free vector fields. Using a modified definition for the system of short paths, we prove their existence in the general case.
References:
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- H. O. Georgii, Gibbs Measures and Phase Transitions, de Gruyter 1988. MR 89k:82010
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- U. Krengel, Ergodic theorems, de Gruyter 1985. MR 87i:28001
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Additional Information:
Thomas
Vogel
Affiliation:
Mathematisches Institut, Universität München, Theresienstr.~39, 80333~München, Germany
Email:
thomas.vogel@mathematik.uni-muenchen.de
DOI:
10.1090/S0002-9939-02-06792-8
PII:
S 0002-9939(02)06792-8
Received by editor(s):
October 29, 2001
Received by editor(s) in revised form:
February 25, 2002
Posted:
October 24, 2002
Communicated by:
Ronald A. Fintushel
Copyright of article:
Copyright
2002,
American Mathematical Society
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