Contemporary Mathematics 2002; 136 pp; softcover Volume: 303 ISBN10: 0821829807 ISBN13: 9780821829806 List Price: US$45 Member Price: US$36 Order Code: CONM/303
 This volume contains six detailed papers written by participants of the special session on value distribution theory and complex dynamics held in Hong Kong at the First Joint International Meeting of the AMS and the Hong Kong Mathematical Society in December 2000. It demonstrates the strong interconnections between the two fields and introduces recent progress of leading researchers from Asia. In the book, W. Bergweiler discusses proper analytic maps with one critical point and generalizes a previous result concerning Leau domains. W. Cherry and J. Wang discuss nonArchimedean analogs of Picard's theorems. P.C. Hu and C.C. Yang give a survey of results in nonArchimedean value distribution theory related to unique range sets, the \(abc\)conjecture, and Shiffman's conjecture. L. Keen and J. Kotus explore the dynamics of the family of \(f_\lambda(z)=\lambda\tan(z)\) and show that it has much in common with the dynamics of the familiar quadratic family \(f_c(z)=z^2+c\). R. Oudkerk discusses the interesting phenomenon known as parabolic implosion and, in particular, shows the persistence of Fatou coordinates under perturbation. Finally, M. Taniguchi discusses deformation spaces of entire functions and their combinatorial structure of singularities of the functions. The book is intended for graduate students and research mathematicians interested in complex dynamics, function theory, and nonArchimedean function theory. Readership Graduate students and research mathematicians interested in complex dynamics, function theory, and nonArchimedean function theory. Table of Contents  W. Bergweiler  On proper analytic maps with one critical point
 W. Cherry and J. T.Y. Wang  NonArchimedean analytic maps to algebraic curves
 P.C. Hu and C.C. Yang  Some progress in nonArchimedean analysis
 L. Keen and J. Kotus  On period doubling phenomena and Sharkovskii type ordering for the family \(\lambda\tan(z)\)
 R. Oudkerk  The parabolic implosion: Lavaurs maps and strong convergence for rational maps
 M. Taniguchi  Synthetic deformation space of an entire function
