Ergodic Theory and Dynamical Systems

Research Article

Growth rate of surface homeomorphisms and flow equivalence

David Frieda1

a1 Mathematics Department, Boston University, Boston, Mass. 02215, USA

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 included

(Received February 21 1985)