Dynamics of quadratic polynomials II: rigidity
动力系统
2016-09-06 v1
摘要
This is a continuation of the series of notes on the dynamics of quadratic polynomials. We show the following Rigidity Theorem: Any combinatorial class contains at most one quadratic polynomial satisfying the secondary limbs condition with a-priori bounds. As a corollary, such maps are combinatorially and topologically rigid, and as a consequence, the Mandelbrot set is locally connected at the correspoinding parameter values.
引用
@article{arxiv.math/9512229,
title = {Dynamics of quadratic polynomials II: rigidity},
author = {Mikhail Lyubich},
journal= {arXiv preprint arXiv:math/9512229},
year = {2016}
}