This CBMS lecture series, held in Albany, New York in June 1994, aimed to introduce the audience to the literature on complex dynamics in higher dimension. Some of the lectures are updated versions of earlier lectures given jointly with Nessim Sibony in Montreal 1993. The author's intent in this book is to give an expansion of the Montreal lectures, basing complex dynamics in higher dimension systematically on pluripotential theory.

These notes provide an easy-to-read introduction into the field, an introduction that motivates the topics. The monograph then points readers towards technically more advanced literature.

Readership

Research mathematicians.

Table of Contents

• Introduction
• Kobayashi hyperbolicity
• Some examples
• Applications of Kobayashi hyperbolicity
• Recurrent Fatou components
• Rational maps
• Holomorphic dynamics in $\mathbb C^n$
• Exploding orbits
• Unbounded orbits
• Generic density of orbits
• Index
• Bibliography