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Ruelle operator theorem for non-expansive systems

Published online by Cambridge University Press:  23 June 2009

YUNPING JIANG  and
YUAN-LING YE
YUNPING JIANG
Affiliation:
Department of Mathematics, Queens College of CUNY, Flushing, NY 11367, USA Department of Mathematics, CUNY Graduate Center, 365 Fifth Avenue, New York, NY 10016, USA (email: [email protected])
YUAN-LING YE
Affiliation:
School of Mathematical Sciences, South China Normal University, Guangzhou 510631, People’s Republic of China (email: [email protected])
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Abstract

The Ruelle operator theorem has been studied extensively both in dynamical systems and iterated function systems. In this paper we study the Ruelle operator theorem for non-expansive systems. Our theorems give some sufficient conditions for the Ruelle operator theorem to be held for a non-expansive system.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 30 , Issue 2 , April 2010 , pp. 469 - 487
Copyright
Copyright © Cambridge University Press 2009

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