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Scenery Flow for Hyperbolic Julia Sets

机译:双曲Julia集的景物流

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摘要

We prove that, for hyperbolic rational maps, except for a few exceptional cases211u001elisted below, the scenery flow is ergodic. We also prove ergodicity for almost 211u001eall conformal mixing repellors; here the statement is that the scenery flow is 211u001eergodic for the repellors which are not linear nor contained in a finite union of 211u001ereal-analytic curves, and furthermore that for the collection of such maps based 211u001eon a fixed open set U, the ergodic cases form a dense open subset of that 211u001ecollection.

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