Geometric Characterization and Dynamics of Holomorphic Maps

Title: Geometric Characterization and Dynamics of Holomorphic Maps
Identifier: d_2009_2013:ea87293496fd:11903
identifier: 12563
Creator: Chen, Tao,
Contributor: Yunping Jiang | Linda Keen
Date: 2013
Language: English
Publisher: City University of New York.
Subject: Theoretical mathematics | Mathematics
Abstract: We prove the existence of the canonical Thurston obstruction for sub-hyperbolic semi-rational branched coverings when they are obstructed. Then we geometrically characterize meromorphic maps with exactly two asymptotic values and no critical values. We finish with the proof of non-existence of the invariant line fields for a family of entire functions.
Type: dissertation
Source: 2009_2013.csv
degree: Ph.D.
Program: Mathematics