Ledrappier–Young formulae for a family of nonlinear attractors
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We study a natural class of invariant measures supported on the attractors of a family of nonlinear, non-conformal iterated function systems introduced by Falconer, Fraser and Lee. These are pushforward quasi-Bernoulli measures, a class which includes the well-known class of Gibbs measures for Hölder continuous potentials. We show that these measures are exact dimensional and that their exact dimensions satisfy a Ledrappier–Young formula.
Lee , L D & Jurga , N A 2021 , ' Ledrappier–Young formulae for a family of nonlinear attractors ' , Mathematische Zeitschrift , vol. First Online . https://doi.org/10.1007/s00209-021-02876-7
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DescriptionLDL was supported by an EPSRC Doctoral Training Grant (EP/N509759/1). NJ was supported by an EPSRC Standard Grant (EP/R015104/1).
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