The arithmetic of dynamical systems

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Graduate Texts in Mathematics 241

The Arithmetic of Dynamical Systems

1 An Introduction to Classical Dynamics

1.1 Rational Maps and the Projective Line

1.2 Critical Points and the Riemann-HurwitzFormula

1.3 Periodic Points and Multipliers

1.4 The Julia Set and the Fatou Set

1.5 Properties of Periodic Points

1.6 Dynamical Systems Associated toEndomorphisms of Algebraic Groups

2 Dynamics over Local Fields: Good Reduction

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