Result: Dynamical rigidity of transcendental meromorphic functions
Title:
Dynamical rigidity of transcendental meromorphic functions
Authors:
Source:
Nonlinearity (Bristol. Print). 25(8):2337-2348
Publisher Information:
Bristol: Institute of Physics, 2012.
Publication Year:
2012
Physical Description:
print, 12 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Theoretical physics, Physique théorique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Fonctions d'une variable complexe, Functions of a complex variable, Fonctions de plusieurs variables complexes et espaces analytiques, Several complex variables and analytic spaces, Topologie. Variétés et complexes cellulaires. Analyse globale et analyse sur variétés, Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds, Analyse globale, analyse sur des variétés, Global analysis, analysis on manifolds, Physique, Physics, Generalites, General, Méthodes mathématiques en physique, Mathematical methods in physics, Divers, Other topics in mathematical methods in physics, Analyse non linéaire, Nonlinear analysis, análisis no lineal, Fonction entière, Entire function, Función entera, Fonction méromorphe, Meromorphic function, Función meromorfa, Fonction transcendante, Transcendental function, Función trascendente, Homéomorphisme, Homeomorphism, Homeomorfismo, Physique mathématique, Mathematical physics, Física matemática, 30Dxx, 32A20, 37F50, 57S05, 58D05, Ensemble Julia, Julia set
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
Bartłomiej Skorulski, Departamento de Matematicas, Universidad Católica del Norte, Avenida Angamos 0610, Antofagasta, Chile
Mariusz Urbański, Department of Mathematics, University of North Texas, Denton, TX 76203-1430, United States
Mariusz Urbański, Department of Mathematics, University of North Texas, Denton, TX 76203-1430, United States
ISSN:
0951-7715
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Theoretical physics
Theoretical physics
Accession Number:
edscal.26259455
Database:
PASCAL Archive
Further Information
We prove the form of dynamical rigidity of transcendental meromorphic functions which asserts that if two tame transcendental meromorphic functions restricted to their Julia sets are topologically conjugate via a locally bi-Lipschitz homeomorphism, then they, treated as functions defined on the entire complex plane C, are topologically conjugate via an affine map, i.e. a map from ℂ to ℂ of the form z ↦ az + b. As an intermediate step we show that no tame transcendental meromorphic function is essentially affine.