2 options
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 Mathematical Society and the Hong Kong Mathematical Society : Hong Kong, December 13-16, 2000 / William Cherry, Chung-Chun Yang, editors.
- Format:
- Book
- Conference/Event
- Author/Creator:
- Joint International Meeting of the American Mathematical Society and the Hong Kong Mathematical Society, Corporate Author.
- Conference Name:
- Joint International Meeting of the American Mathematical Society and the Hong Kong Mathematical Society (1st : 2000 : Hong Kong, China), issuing body.
- Series:
- Contemporary mathematics (American Mathematical Society) ; v. 303.
- Contemporary mathematics, 0271-4132 ; 303
- Language:
- English
- Subjects (All):
- Functions of complex variables--Congresses.
- Functions of complex variables.
- Value distribution theory--Congresses.
- Value distribution theory.
- Physical Description:
- 1 online resource (146 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2002]
- Language Note:
- English
- Summary:
- 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 andgeneralizes 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 $f c(z)=z2+c$. 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 bookis intended for graduate students and research mathematicians interested in complex dynamics, function theory, and non-Archimedean function theory.
- Contents:
- ""Contents""; ""Preface""; ""On proper analytic maps with one critical point""; ""Non-Archimedean analytic maps to algebraic curves""; ""Some progress in non-Archimedean analysis""; ""On period doubling phenomena and Sharkovskii type ordering for the family λ tan(z)""; ""The parabolic implosion: Lavaurs maps and strong convergence for rational maps""; ""Synthetic deformation space of an entire function""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-7893-X
- 0-8218-5639-1
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.