Article Contents
Article Contents

# Rotation sets for unimodal maps of the interval

• We relate the rotation interval $\rho(f)$ of a unimodal map $f$ of the interval with its kneading invariant $K(f)$. In particular, we show that for any $\mu \in (0,\frac{1}{2})$, there are kneading invariants $\nu_\mu$ and $\nu_{\mu, h o m}$ such that $\rho(f)=[\mu, \frac{1}{2}]$ if and only if $\nu_\mu \preceq K(f) \preceq \nu_{\mu, h o m}$.
Mathematics Subject Classification: 26A18, 37B10, 37C25, 37C29, 37E05, 37E15, 37E45.

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