The understanding of the dynamics and geometry of elliptic functions rapidly develops since the first papers of Hawkins, Koss, Kotus and Urbanski have been published. Although these functions are relatively 'regular', they manifest such unexpected features as the fact that the Hausdorff dimension of their Julia set is always larger than 1 or, in the non-recurrent case, that the corresponding Hausdorff measure always vanishes whereas the packing measure, in the absence of parabolic points, is finite and positive. In spite of possibile associations steaming from the name, this is not a narrow class of functions.

In the first part of the talk we present a survey of known results concerning dynamics and metric properties of elliptic functions. In the second part we estimate a metric entropy of so called 'elliptic function of finite type'.

Note: This is a joint work with Mariusz Urbanski (University of North Texas)