Meromorphic Dynamics: Volume 2

The first monograph to explore the beautiful and rich dynamics of elliptic functions, with an emphasis on ergodic aspects.

This text, the second of two volumes, provides a comprehensive and self-contained approach to the rich dynamics of elliptic functions on the complex plane, with an emphasis on ergodic aspects. The first monograph on the subject, it is an indispensable reference for any researchers interested in low-dimensional dynamics.This text, the second of two volumes, builds on the foundational material on ergodic theory and geometric measure theory provided in Volume I, and applies all the techniques discussed to describe the beautiful and rich dynamics of elliptic functions. The text begins with an introduction to topological dynamics of transcendental meromorphic functions, before progressing to elliptic functions, discussing at length their classical properties, measurable dynamics and fractal geometry. The authors then look in depth at compactly non-recurrent elliptic functions. Much of this material is appearing for the first time in book or paper form. Both senior and junior researchers working in ergodic theory and dynamical systems will appreciate what is sure to be an indispensable reference.