Value Distribution Theory and Complex Dynamics: Proceedings of the Special Session on Value Distribution Theory and Complex Dynamics of the First Joint International Meeting of the American - Couverture souple

American Mathematical Society

 
9780821829806: Value Distribution Theory and Complex Dynamics: Proceedings of the Special Session on Value Distribution Theory and Complex Dynamics of the First Joint International Meeting of the American
Couverture souple
ISBN 10 : 0821829807 ISBN 13 : 9780821829806
Editeur : American Mathematical Society, 2002

Synopsis

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 non-Archimedean analogs 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 $f_\lambda(z)=\lambda\tan(z)$ 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 non-Archimedean function theory.

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Éditeur
American Mathematical Society
Date d'édition
2002
Langue
anglais
ISBN 10 
0821829807
ISBN 13 
9780821829806
Reliure
Broché
Nombre de pages
136
Coordonnées du fabricant
non disponible
Personne responsable
non disponible