CBMS Regional Conference Series in Mathematics 1996; 59 pp; softcover Number: 87 ISBN10: 0821803174 ISBN13: 9780821803172 List Price: US$25 Member Price: US$20 All Individuals: US$20 Order Code: CBMS/87
 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 easytoread 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
