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Regularity of the transfer map for cohomologous cocycles

Published online by Cambridge University Press:  01 October 1998

VIOREL NIŢICĂ  and
ANDREI TÖRÖK
VIOREL NIŢICĂ
Affiliation:
Institute of Mathematics of the Romanian Academy, PO Box 1-764, RO-70700 Bucharest, Romania Current address: Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA. (e-mail: [email protected])
ANDREI TÖRÖK
Affiliation:
Institute of Mathematics of the Romanian Academy, PO Box 1-764, RO-70700 Bucharest, Romania Current address: Department of Mathematics, Princeton University, Princeton, NJ 08544-1000, USA. (e-mail: [email protected])
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Abstract

In this paper we obtain results about the regularity of the transfer map between two cocycles over an Anosov system, with values in either a diffeomorphism or a Lie group. We also explain how certain examples of de la Llave show that our results are essentially optimal.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 18 , Issue 5 , October 1998 , pp. 1187 - 1209
Copyright
© 1998 Cambridge University Press

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