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Pseudo-Anosov homeomorphisms of punctured nonorientable surfaces with small stretch factor

Pseudo-Anosov homeomorphisms of punctured nonorientable surfaces with small stretch factor

We prove that in the nonorientable setting, the minimal stretch factor of a pseudo-Anosov homeomorphism of a surface of genus g with a fixed number of punctures is asymptotically on the order of 1=g.Our result adapts the work of Yazdi to nonorientable surfaces.We include the details of Thurston's theory of …