Koss, Lorelei and Hawkins, Jane

Published as: Hawkins, Jane and Lorelei Koss. Connectivity Properties of Julia Sets of Weierstrass Elliptic Functions. Topology and its Applications 152, no. 1 (2005): 107-37. For more information on the published version,...

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Koss, Lorelei, Hawkins, Jane, and Kotus, Janina

Published as:Hawkins, Jane, Lorelei Koss, and Janina Kotus. Elliptic Functions with Critical Orbits Approaching Infinity. Journal of Difference Equations and Applications, 16, no. 5-6 (2010): 613-30.For more information on...

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Koss, Lorelei and Hawkins, Jane

We discuss properties of the Julia and Fatou sets of Weierstrass elliptic p functions arising from real lattices. We give sufficient conditions for the Julia sets to be the whole sphere and for the maps to be ergodic, exact,...

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Koss, Lorelei and Hawkins, Jane

Published as:Hawkins, Jane and Lorelei Koss. Parametrized Dynamics of the Weierstrass Elliptic Function. Conformal Geometry and Dynamics 8, no. 1 (2004): 1-35. For more information on the published version, visit American...

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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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Hawkins, Jane and Koss, Lorelei

We analyze the existence and types of unbounded Fatou components for elliptic functions and other meromorphic functions with doubly periodic Julia sets. We show that apart from Herman rings and Siegel disks, all types of...

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