Abstract CONTENTS Introduction Chapter I. Integrable Lagrange systems with discrete time
§ 1. Hamiltonian theory of Lagrange systems with discrete time § 2. Discrete analogues of …

This volume studies the dynamics of iterated holomorphic map**s from a Riemann
surface to itself, concentrating on the classical case of rational maps of the Riemann sphere …

This book is designed to provide a path for the reader into an amalgamation oftwo venerable
areas ofmathematics, Dynamical Systems and Number Theory. Many of the motivating …

We classify bimeromorphic self-maps f: X [inline-graphic xmlns: xlink=" http://www. w3.
org/1999/xlink" xlink: href=" 01i"/] of compact Kähler surfaces X in terms of their actions f*: H …

The main stimulus for preparing this new edition was the lively development of the subject
since the publication of the first edition in 2011. I have tried to incorporate the new results as …

This book, first published in 2000, is a comprehensive introduction to holomorphic dynamics,
that is the dynamics induced by the iteration of various analytic maps in complex number …

This articl e discusses the dynamics of iterated cubic maps from the real or complex line to
itself and will describe the geography of the parameter space for such maps. It is a rough …

It was shown by Bedford and Smillie [BS2] that, if V is an algebraic curve in C2, then the
currents (1/2")[g-"(V)] converge to a constant multiple of/+. Assuming that g is hyperbolic on J …