Iteration of Rational Maps
Eunjeong Yi
Broschiertes Buch

Iteration of Rational Maps

Nevanlinna Theory, Diophantine Approximation

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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...