Filled Julia Sets of Chebyshev Polynomials

نویسندگان

چکیده

We study the possible Hausdorff limits of Julia sets and filled subsequences sequence dual Chebyshev polynomials a non-polar compact set $$K\subset {\mathbb C}$$ compare such to K. Moreover, we prove that measures maximal entropy for K converges weak* equilibrium measure on

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Fekete Polynomials and Shapes of Julia Sets

We prove that a nonempty, proper subset S of the complex plane can be approximated in a strong sense by polynomial filled Julia sets if and only if S is bounded and Ĉ \ int(S) is connected. The proof that such a set is approximable by filled Julia sets is constructive and relies on Fekete polynomials. Illustrative examples are presented. We also prove an estimate for the rate of approximation i...

متن کامل

Strong analyticity of partly filled-in composite Julia sets

It is shown that a composite Julia set generated by an infinite array of polynomial mappings is strongly analytic when regarded as a multifunction of the generating maps. An example of such a multifunction, the values of which have Hölder Continuity Property, is constructed. 1

متن کامل

Filled Julia sets with empty interior are computable

We show that if a polynomial filled Julia set has empty interior, then it is computable.

متن کامل

The Julia Sets of Basic Unicremer Polynomials of Arbitrary Degree

Let P be a polynomial of degree d with a Cremer point p and no repelling or parabolic periodic bi-accessible points. We show that there are two types of such Julia sets JP . The red dwarf JP are nowhere connected im kleinen and such that the intersection of all impressions of external angles is a continuum containing p and the orbits of all critical images. The solar JP are such that every angl...

متن کامل

Sierpinski-curve Julia sets and singular perturbations of complex polynomials

In this paper we consider the family of rational maps of the complex plane given by z2 + λ z2 where λ is a complex parameter. We regard this family as a singular perturbation of the simple function z2. We show that, in any neighborhood of the origin in the parameter plane, there are infinitely many open sets of parameters for which the Julia sets of the correspondingmaps are Sierpinski curves. ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Geometric Analysis

سال: 2021

ISSN: ['1559-002X', '1050-6926']

DOI: https://doi.org/10.1007/s12220-021-00716-y