T. Bedford, A. Fisher, M. Urbanski. The scenery flow for hyperbolic Julia sets. Proc. London Math. Soc., to appear (2002). Home/Search Document Details and Download
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On Invariant Line Fields - Fisher, Urbanski (1999) (1 citation) Self-citation (Fisher) (Correct)
....one that is smooth on a large set (see Proposition 6) 2 After this paper has been submitted for publication we received the preprint [Ma] where this theorem has been proved for the measure of maximal entropy and the case (a) was ruled out. The present result is a strengthening of a lemma in [BFU], where we showed that in the special case of hyperbolic rational maps and Hausdorff measure, for a dense G ffi set in parameter space, there is no (Hausdorff) measurable invariant line field. That lemma was then applied in proving the ergodicity of the scenery flow of the Julia set. The basic ....
T. Bedford, A. Fisher, M. Urba'nski, The scenery flow for hyperbolic Julia sets, Preprint.
On Invariant Line Fields - Fisher, Urbanski (1999) (1 citation) Self-citation (Fisher) (Correct)
....smooth except at finitely many points. something like this holds in general and plays a key role in the proof: a main step is to show that a measurable invariant line field can be improved to one that is smooth on a large set (see Proposition 6) The present result is a strengthening of a lemma in [BFU], where we showed that in the special case of hyperbolic rational maps and Hausdorff measure, for a dense G ffi set in parameter space, there is no (Hausdorff) measurable invariant line field. That lemma was then applied in proving the ergodicity of the scenery flow of the Julia set The basic ....
T. Bedford, A. Fisher, M. Urba'nski, The scenery flow for hyperbolic Julia sets, Preprint.
Conformal and Harmonic Measures on Laminations Associated.. - Kaimanovich, Lyubich (2002) (1 citation) (Correct)
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T. Bedford, A. Fisher, M. Urbanski. The scenery flow for hyperbolic Julia sets. Proc. London Math. Soc., to appear (2002).
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