NDLI: Sierpiński Curve Julia Sets of Rational Maps

Please wait, while we are loading the content...

Computational Methods and Function Theory : Volume 17

Computational Methods and Function Theory : Volume 16

Computational Methods and Function Theory : Volume 15

Computational Methods and Function Theory : Volume 14

Computational Methods and Function Theory : Volume 13

Computational Methods and Function Theory : Volume 12

Computational Methods and Function Theory : Volume 11

Computational Methods and Function Theory : Volume 10

Computational Methods and Function Theory : Volume 9

Computational Methods and Function Theory : Volume 8

Computational Methods and Function Theory : Volume 7

Computational Methods and Function Theory : Volume 6

Computational Methods and Function Theory : Volume 6, Issue 2, December 2006

The Isoperimetric Inequality via Approximation Theory and Free Boundary Problems

Schwarz-Christoffel Mapping of Bounded, Multiply Connected Domains

Computation of Multiply Connected Schwarz-Christoffel Maps for Exterior Domains

Sierpiński Curve Julia Sets of Rational Maps

Special Polynomials Associated with Rational Solutions of the Painlevé Equations and Applications to Soliton Equations

On the Uniqueness of Classical Semiconjugations for Self-Maps of the Disk

An Estimate of the Universal Means Spectrum of Conformal Mappings

Universal Taylor Series in Simply Connected Domains

Angular Distribution of Zeros of the Partial Sums of e$^{z}$ via the Solution of Inverse Logarithmic Potential Problem

An Analog of the Paley-Wiener Theorem for Entire Functions of the Space $W _{\sigma} ^{p}, 1 < p < 2$ , and some Applications

Differential Equations for Jacobi-Pineiro Polynomials

Rational Unimodular Interpolation on the Unit Circle

Boundary Interpolation with Blaschke Products of Minimal Degree

Computational Methods and Function Theory : Volume 6, Issue 1, June 2006

Computational Methods and Function Theory : Volume 5

Computational Methods and Function Theory : Volume 4

Computational Methods and Function Theory : Volume 3

Computational Methods and Function Theory : Volume 2

Computational Methods and Function Theory : Volume 1

Sierpiński Curve Julia Sets of Rational Maps

Content Provider	Springer Nature Link
Author	Steinmetz, Norbert
Copyright Year	2006
Abstract	In this note we prove that the so-called Sierpi\’nski holes in the parameter plane 0 < ¦λ¦ < ∞ of the McMullen family Fλ(z) = z $^{ m }$ + λ/z $^{ℓ}$, m ≥ 2 and ℓ ≥ 1 fixed, are simply connected, and determine the total number of these domains.
Starting Page	317
Ending Page	327
Page Count	11
File Format	PDF
ISSN	16179447
Journal	Computational Methods and Function Theory
Volume Number	6
Issue Number	2
e-ISSN	21953724
Language	English
Publisher	Springer-Verlag
Publisher Date	2013-03-07
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Sierpiński hole Sierpiński curve Computational Mathematics and Numerical Analysis Functions of a Complex Variable Analysis McMullen family quasiconjugation quasiconformal mapping Mandelbrot set Holomorphic families of dynamical systems; the Mandelbrot set; bifurcations Polynomials; rational maps; entire and meromorphic functions Expanding maps; hyperbolicity; structural stability
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Computational Theory and Mathematics Analysis

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Hyperbolic components of McMullen maps

Julia Sets of Joukowski-Exponential Maps

Shapes of Polynomial Julia Sets

On the Dynamics of the Rational Family $f_{t}(z)=- t/4{(z^{2}- 2)^{2}/(z^{2}- 1)}$

On the Dynamics of Rational Maps with Two Free Critical Points

Extending external rays throughout the Julia sets of rational maps

Dynamical approximation and kernels of nonescaping-hyperbolic components

Geometric Limits of Julia Sets with Parameters on the Circle

Expansivity properties and rigidity for non-recurrent exponential maps

Sierpiński Curve Julia Sets of Rational Maps

Similar Documents

Hyperbolic components of McMullen maps

Julia Sets of Joukowski-Exponential Maps

Shapes of Polynomial Julia Sets

On the Dynamics of the Rational Family $f_{t}(z)=- t/4{(z^{2}- 2)^{2}/(z^{2}- 1)}$

On the Dynamics of Rational Maps with Two Free Critical Points

Extending external rays throughout the Julia sets of rational maps

Dynamical approximation and kernels of nonescaping-hyperbolic components

Geometric Limits of Julia Sets with Parameters on the Circle

Expansivity properties and rigidity for non-recurrent exponential maps

Sierpiński Curve Julia Sets of Rational Maps