On polynomials sharing preimages of compact sets and related questions
| dc.creator | Pakovich, F. | |
| dc.date | 2006-03-19 | |
| dc.date | 2006-06-12 | |
| dc.date.accessioned | 2026-07-07T07:07:03Z | |
| dc.date.available | 2026-07-07T07:07:03Z | |
| dc.description | In this paper we give a solution of the following problem: under what conditions on infinite compact sets $K_1,K_2\subset \C$ and polynomials $f_1,$ $f_2$ the preimages $f_1^{-1}\{K_1\}$ and $f_2^{-1}\{K_2\}$ coincide. Besides, we investigate some related questions. In particular, we show that polynomials sharing an invariant compact set distinct from a point have equal Julia sets. | |
| dc.description | 21 pages, last version accepted by GAFA | |
| dc.identifier | https://arxiv.org/abs/math/0603452 | |
| dc.identifier | http://arxiv.org/abs/math/0603452 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110249 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Complex Variables | |
| dc.subject | 37F99; 30C99; 41A10; 41A52 | |
| dc.title | On polynomials sharing preimages of compact sets and related questions | |
| dc.type | text |