Trees and hairs for some hyperbolic entire maps of finite order

By Krzysztof Barański. 2007

71 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a51e6b0f2ebcbfef62901e562821bf1962834527

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Lasse Rempe
2. G. Stallard
3. P. Rippon
4. Walter Bergweiler
5. Dierk Schleicher

In Mathematical Physics

1. Lasse Rempe
2. G. Stallard
3. P. Rippon
4. Walter Bergweiler
5. Dierk Schleicher

Citations in the corpus

• Fast escaping points of entire functions (2010, background): “For many functions in the class B, the escaping set consists of a family of curves to infinity, some with and some without endpoints (see [6, 17, 51]), and A(f) consists of these same curves excluding some of the endpoints (see [43]).”
• Rigidity of escaping dynamics for transcendental entire functions (2006, methodology): “Hence Theorem 1.1, together with [ Ba ], provides an alternative proof of property (US)—and thus a positive answer to Fatou’s and Eremenko’s questions—for functions f2B of finite order.”