Growth rate of surface homeomorphisms and flow equivalence
- 1 December 1985
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 5 (4) , 539-563
- https://doi.org/10.1017/s0143385700003151
Abstract
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 includedKeywords
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