Ergodic Dynamics unifies topics across ergodic theory, topological dynamics, complex dynamics, and dynamical systems, offering an accessible introduction to the area. Readers across pure and applied mathematics will appreciate the rich illustration of the theory through examples, real-world connections, and vivid color graphics. A solid grounding in measure theory, topology, and complex analysis is assumed; appendices provide a brief review of the essentials from measure theory, functional analysis, and probability.
Jane Hawkins is Professor Emerita at the University of North Carolina at Chapel Hill. She obtained her Ph.D. from the University of Warwick, where she studied as a Marshall Scholar. Her research interests are centered on dynamical systems and complex dynamics, including cellular automata and Julia sets. She has taught graduate courses related to the text at Stony Brook University, Cal Tech, Duke and UNC. In addition to supervising more than a dozen Ph.D. and master’s students, Hawkins was an inaugural Fellow of the American Mathematical Society where she has also been active in AMS governance.