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The flat-trace asymptotics of a uniform system of contractions

Published online by Cambridge University Press:  14 October 2010

David Fried
David Fried
Affiliation:
Dept of Mathematics, Boston University, III Cummington St, Boston, MA 02215, USA
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Extract

We develop a variant of the Taylor approximation approach to the periodic points of systems of contraction mappings [Rl] that does not invoke compactness conditions. Our presentation is simpler, in that certain steps are bypassed and only one basic estimate is used (Lemma 1). We also study the distribution of the discrete spectrum for the relevant transfer operators (Proposition 2).

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 15 , Issue 6 , December 1995 , pp. 1061 - 1073
Copyright
Copyright © Cambridge University Press 1995

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