Constructing entire functions by quasiconformal folding

• 成果类型: Article
• 署名作者: Bishop, Christopher J.
• 署名单位: State University of New York (SUNY) System; Stony Brook University
• 刊物名称: ACTA MATHEMATICA
• ISSN/ISSBN: 0001-5962
• DOI: 10.1007/s11511-015-0122-0
• 发表日期: 2015
• 页码: 1-60
• 关键词: wandering domains; meromorphic functions; Hausdorff Dimension; julia sets; DYNAMICS; trees; plane

摘要

We give a method for constructing transcendental entire functions with good control of both the singular values of f and the geometry of f. Among other applications, we construct a function f with bounded singular set, whose Fatou set contains a wandering domain.