Ruelle operator and transcendental entire maps
We calculate the Ruelle operator of a transcendental entire function f having only a finite set of algebraic singularities. Moreover, under certain topological conditions on the postcritical set we prove (i) if f has a summable critical point, then f is not structurally stable and (ii) if all critic...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2005 |
| País: | México |
| Institución: | Universidad Nacional Autónoma de México |
| Repositorio: | Sistema de Información de la Facultad de Ciencias, UNAM |
| OAI Identifier: | oai:repositorio.fciencias.unam.mx:11154/1466 |
| Acceso en línea: | http://hdl.handle.net/11154/1466 |
| Access Level: | acceso abierto |
| Palabra clave: | Mathematics, Applied Mathematics Ruelle operator entire functions Julia set Fatou set invariant line fields |
| Sumario: | We calculate the Ruelle operator of a transcendental entire function f having only a finite set of algebraic singularities. Moreover, under certain topological conditions on the postcritical set we prove (i) if f has a summable critical point, then f is not structurally stable and (ii) if all critical points of f belonging to Julia set are summable, then there do not exist invariant lines fields on the Julia set. |
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