Multipliers of periodic orbits of quadratic polynomials and the parameter plane
| dc.creator | Levin, Genadi | |
| dc.date | 2007-02-01 | |
| dc.date.accessioned | 2026-07-07T07:44:16Z | |
| dc.date.available | 2026-07-07T07:44:16Z | |
| dc.description | We prove an extension results for the multiplier of an attracting periodic orbit of a quadratic map as a function of the parameter. This has applications to the problem of geometry of the Mandelbrot and Julia sets. In particular, we prove that the size of p/q-limb of a hyperbolic component of the Mandelbrot set of period n is O(4^n/p), and give an explicit condition on internal arguments under which the Julia set of corresponding (unique) infinitely renormalizable quadratic polynomial is not locally connected | |
| dc.description | 28 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0702011 | |
| dc.identifier | http://arxiv.org/abs/math/0702011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123139 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Complex Variables | |
| dc.subject | 37F45 | |
| dc.title | Multipliers of periodic orbits of quadratic polynomials and the parameter plane | |
| dc.type | text |