A multifractal analysis for cuspidal windings on hyperbolic surfaces
نویسندگان
چکیده
In this paper, we investigate the multifractal decomposition of limit set a finitely generated, free Fuchsian group with respect to mean cusp-winding number. We completely determine its spectrum by means certain energy function and show that Hausdorff dimension sets consisting points same scaling exponent coincides Legendre transform function. As by-product generalize previously obtained results on formalism for infinite iterated systems setting graph directed Markov systems.
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ژورنال
عنوان ژورنال: Stochastics and Dynamics
سال: 2021
ISSN: ['0219-4937', '1793-6799']
DOI: https://doi.org/10.1142/s0219493721400074