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We obtain sharp rotation bounds for homeomorphisms$f:\mathbb{C}\to\mathbb{C}$ whose distortion is in $L^p_{loc}$, $p\geq1$, andwhose inverse have controlled modulus of continuity. The interest in this classis partially motivated by examples arising from fluid mechanics. We alsopresent examples proving sharpness in a strong sense.

Pointwise rotation for homeomorphisms with integrable distortion and controlled compression