Value Distribution Theory and Complex Dynamics : Proceedings of the Special Session on Value Distribution Theory and Complex Dynamics Held at the First Joint International Meeting of the American Math

ISBN-13: 9780821829806 / Angielski / Miękka / 2002

Usa) Denton William (University Of North Texas Cherry; Yang (The Hong Kong University Of Science And Te Chung-Chun

Opis

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 the 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 non-Archimedean analogues of Picard's theorems. P.C. Hu and C.C. Yang give a survey of results in non-Archimedean 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 $fULlambda(z)=lambda an(z)$ and show that it has much in common with the dynamics of the familiar quadratic family $fULc(z)=z +c$. R. Oudkerk discusses the interesting phenomenon known as parabolic implosion and, in particular, shows the persistence of Fatou co-ordinates under perturbation.