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math.DS2006
Schwarzian Derivatives and Cylinder Maps
Araceli Bonifant, John Milnor
We describe the way in which the sign of the Schwarzian derivative for a family of diffeomorphisms of the interval affects the dynamics of an associated many-to-one skew produc…
math.DS2006
Elliptic Curves as Attractors in Part 1: Dynamics
Araceli Bonifant, Marius Dabija, John Milnor
A study of rational maps of the real or complex projective plane of degree two or more, concentrating on those which map an elliptic curve onto itself, necessarily by an expanding…