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....
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...
