Equidistribution Measures of infinite entropy for Transcendental Functions
In the 1980s Lyubich and Freire-Lopes-Ma\~n\'e proved that for any rational function of degree d \geq 2, both preimages and periodic points equidistribute to the unique measure of maximal entropy log(d). Their results provide a fundamental understanding of the dynamics of iterated rational functions, and have since bee...