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Growth rate of surface homeomorphisms and flow equivalence

Published online by Cambridge University Press:  19 September 2008

David Fried
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

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 5 , Issue 4 , December 1985 , pp. 539 - 563
Copyright
Copyright © Cambridge University Press 1985

References

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