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Growth rate of surface homeomorphisms and flow equivalence

Published online by Cambridge University Press:  19 September 2008

David Fried
Affiliation:
Mathematics Department, Boston University, Boston, Mass. 02215, USA
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Abstract

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We study which algebraic integers λ ≥ l arise as the growth rate of a mapping class of a surface and give conditions that are necessary and perhaps sufficient. Flow equivalence and twisted Lefschetz zeta functions are used to generate families of λ's. Examples and open problems are included

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Type
Research Article
Copyright
Copyright © Cambridge University Press 1985