Bo Man

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We deene the scenery ow at a point z in the Julia set J of a hyperbolic rational map T : C I ! C I with degree 2, and more generally for T a conformal mixing repellor. We prove that, for hyperbolic rational maps, except for a few exceptional cases listed below, the scenery ow is ergodic. We also prove ergodicity for almost all conformal mixing repellors;(More)
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