Schwarzian Derivatives and Cylinder Maps

Araceli Bonifant; John Milnor

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Schwarzian Derivatives and Cylinder Maps

Araceli Bonifant·John Milnor

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Abstract

We describe the way in which the sign of the Schwarzian derivative for a family of diffeomorphisms of the interval $I$ affects the dynamics of an associated many-to-one skew product map of the cylinder $(\R/\Z)\times I$.

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Araceli Bonifant, John Milnor. 2006-10-06. Schwarzian Derivatives and Cylinder Maps. https://arxiv.org/abs/math/0610232

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