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Iteration of Rational Maps: Nevanlinna Theory, Diophantine Approximation - Couverture souple

Yi, Eunjeong

 
9783639250633: Iteration of Rational Maps: Nevanlinna Theory, Diophantine Approximation
Couverture souple
ISBN 10 : 363925063X ISBN 13 : 9783639250633
Editeur : VDM Verlag Dr. Müller, 2010

Synopsis

Classically, discrete dynamics is the study of iteration of polynomial and rational maps on the complex plane or on the Riemann sphere. The arithmetic properties for the associated dynamical system were studied by J. Silverman in his paper "Integer points, Diophantine approximation, and iteration of rational maps" (1993). Motivated by the analogy between Nevanlinna theory and Diophantine approximation discovered by C. F. Osgood and P. Vojta, M. Ru and E. Yi studied the complex hyperbolic properties for the associated dynamical systems in their paper "Nevanlinna Theory and Iteration of Rational Maps" (2005). Finiteness in Diophantine approximation corresponds to constancy of a meromorphic function in Nevanlinna Theory. This book discusses the iteration of rational maps in relation to Diophantine approximation, as well as Nevanlinna theory, based on the above mentioned papers.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Classically, discrete dynamics is the study of iteration of polynomial and rational maps on the complex plane or on the Riemann sphere. The arithmetic properties for the associated dynamical system were studied by J. Silverman in his paper "Integer points, Diophantine approximation, and iteration of rational maps" (1993). Motivated by the analogy between Nevanlinna theory and Diophantine approximation discovered by C. F. Osgood and P. Vojta, M. Ru and E. Yi studied the complex hyperbolic properties for the associated dynamical systems in their paper "Nevanlinna Theory and Iteration of Rational Maps" (2005). Finiteness in Diophantine approximation corresponds to constancy of a meromorphic function in Nevanlinna Theory. This book discusses the iteration of rational maps in relation to Diophantine approximation, as well as Nevanlinna theory, based on the above mentioned papers.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
VDM Verlag Dr. Müller
Date d'édition
2010
Langue
anglais
ISBN 10 
363925063X
ISBN 13 
9783639250633
Reliure
Broché
Nombre de pages
68
Coordonnées du fabricant
non disponible
Personne responsable
non disponible