The ergodic theory of shrinking targets

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Publication details

JournalInvent. math.
DatePublished - Dec 1995
Issue number1
Volume119
Number of pages24
Pages (from-to)175-198
Original languageEnglish

Abstract

To any dynamical system equipped with a metric, we associate a class of ldquowell approximablerdquo sets. In the case of an expanding rational map of the Riemann sphere acting on its Julia set, we estimate and in some cases compute the Hausdorff dimension of the associated ldquowell approximablerdquo sets. The methods used show a clear link between distortion properties and the type of results obtained in this paper, via ergodic theory and ubiquity.

    Research areas

  • Mathematik

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