In this paper, we investigate elliptic functions of the form , where is the Weierstrass elliptic function on a real rhombic lattice. We show that a typical function in this family has a superattracting fixed point at the origin...
Published as:Koss, Lorelei. Ergodic and Bernoulli Properties of Analytic Maps of Complex Projective Space. Transactions of the American Mathematical Society 354, no. 6 (2002): 2417-2459. For more information on the published...
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,...
Published as:Barnes, Julia and Lorelei Koss. The Ergodic Theory Carnival. Mathematics Magazine, 83, no. 3 (2010): 180-90.For more information on the published version, visit Mathematical Association of America's Website....
This published version is made available on Dickinson Scholar with the permission of the publisher. For more information on the published version, visit New York Journal of Mathematics's Website., Koss, Lorelei. "Examples of...
Published as:Koss, Lorelei. A Fundamental Dichotomy for Julia Sets of a Family of Elliptic Functions. Proceedings of the American Mathematical Society, 137 no. 11 (2009): 3927-3938. For more information on the published...
Clemons, Joshua J., and Lorelei Koss. Higher Order Elliptic Functions with Connected Julia Sets. Topology Proceedings 53 (2019): 57-72. (Article published online May 7, 2018)....
Let ℘ be the Weierstrass ℘-function. Then ℘(2z)=R(℘(z)) for some rational function R· It was shown by Lattès (1919) that the Julia set of this rational function R is the whole sphere. A similar example using Jacobian elliptic...
Published as:Koss, Lorelei. Manipulatives for 3-Dimensional Coordinate Systems. PRIMUS 21, no. 4 (2011): 364-76. For more information on the published version, visit Taylor and Francis's Website. and We describe a set of...
This published version is made available on Dickinson Scholar with the permission of the publisher. For more information on the published version, visit Hindawi Publishing Corporation's Website., We prove that there are...