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On the Ruelle invariants for diffeomorphisms of the two torus

Published online by Cambridge University Press:  06 August 2002

SHIGENORI MATSUMOTO  and
HIROMICHI NAKAYAMA
SHIGENORI MATSUMOTO
Affiliation:
Department of Mathematics, College of Science and Technology, Nihon University, 1-8 Kanda-Surugadai, Chiyoda-ku, Tokyo 101-8308, Japan (e-mail: [email protected])
HIROMICHI NAKAYAMA
Affiliation:
Faculty of Integrated Arts and Sciences, Hiroshima University, 1-7-1 Kagamiyama, Higashi-Hiroshima 739-8521, Japan (e-mail: [email protected])
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Abstract

For any diffeomorphism f of the two torus T^2 isotopic to the identity, the Ruelle invariant {\mathcal R}_\mu(f) is shown to vanish for some f-invariant probability measure \mu.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 22 , Issue 4 , August 2002 , pp. 1263 - 1267
Copyright
© 2002 Cambridge University Press

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