TITLE: Minimum dilatation pseudo-anosovs on non-orientable surfaces
QUESTION [6 upvotes]: Is anything known about minimum dilatation pseudo-anosovs on non-orientable surfaces?
More specifically it is known whether the asymptotic behavior for log(minimal dilatation) is 1/genus? (The lower bound follows from the lower bound for pseudo-anosovs on orientable surfaces, but I do not know of any construction that realizes it.)

REPLY [3 votes]: One may construct upper bounds in the non-orientable case the same way as McMullen does in his paper (see p. 523 for a short description of his "renormalization" procedure, or Section 10).