Connectivity of Julia sets for Weierstrass elliptic functions on square lattices

Clemons, Joshua

doi:10.1090/S0002-9939-2011-11079-7

Connectivity of Julia sets for Weierstrass elliptic functions on square lattices
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Proc. Amer. Math. Soc. 140 (2012), 1963-1972 Request permission

Abstract:

We show that the Julia set of a Weierstrass elliptic function on a square lattice is connected. The techniques used to prove this result are used to show a similar result for a related family of rational maps obtained from the Laurent series.

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