Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 1-60 |
| Number of pages | 60 |
| Journal | Acta Mathematica |
| Volume | 214 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2015 |
Keywords
- area conjecture
- bounded type
- entire functions
- Eremenko–Lyubich class
- finite type
- quasiconformal maps
- Speiser class
- tracts
- transcendental dynamics
- wandering domains
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