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Real and complex dynamics of a family of birational maps of the plane: The golden mean subshift

Real and complex dynamics of a family of birational maps of the plane: The golden mean subshift

We describe the (real) dynamics of a family of birational mappings of the plane. By combining complex intersection theory and techniques from smooth dynamical systems, we are able to give an essentially complete account of the behavior of both wandering and nonwandering orbits. In particular, the golden mean subshift provides …