Becker, Devin, Furno, Joanna, and Koss, Lorelei

We study the dynamics of a family of polynomial functions and the relationship to the dynamics of a related entire transcendental family of functions. As the degree of the polynomial approaches infinity, the polynomial...

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Koss, Lorelei, Hawkins, Jane, and Furno, Joanna

We analyze the dynamics of a sequence of families of non-polynomial rational maps, {f a,d }, for a ∈ C* = C \ {0}, d ≥ 2. For each d, {f a,d } is a family of rational maps of degree d of the Riemann sphere parametrized by a ∈...

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