Araceli Bonifant

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math.DS2009

Cubic Polynomial Maps with Periodic Critical Orbit, Part II: Escape Regions

Araceli Bonifant, Jan Kiwi, John Milnor

The parameter space $S_{p}$ for monic centered cubic polynomial maps with a marked critical point of period $p$ is a smooth affine algebraic curve whose genus increases rap…

math.DS2006

Elliptic Curves as Attractors in $P^{2}$ 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…

Cubic Polynomial Maps with Periodic Critical Orbit, Part II: Escape Regions

Elliptic Curves as Attractors in P2 Part 1: Dynamics

Elliptic Curves as Attractors in $P^{2}$ Part 1: Dynamics