\(C^m\) eigenfunctions of Perron-Frobenius operators and a new approach to numerical computation of Hausdorff dimension: applications in \(\mathbb R^1\)

DOI10.4171/JFG/62zbMath1436.37031arXiv1612.00870MaRDI QIDQ1656527

Publication date: 10 August 2018

Published in: Journal of Fractal Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.00870

zbMATH Keywords

Hausdorff dimension continued fractions positive transfer operators

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Numerical solutions to equations with linear operators (65J10) Fractals (28A80) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dimension theory of smooth dynamical systems (37C45)

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