Article

Computing Hausdorff Dimension of Invariant Measure of Circle Maps

A. AliyevV.I. Romanovsky Institute of Mathematics, Academy of Sciences,UzbekistanA. Jalilov

2023en

ABI

Abstract

Among the dimensional characteristics, Hausdorff dimension is an important one. Hausdorff dimensions of the invariant measure of circle homeomorphisms are well studied for unbounded type rotation numbers. In this work, we calculated the Hausdorff dimension for bounded type rotation numbers. Keywords: piecewise linear circle maps, invariant measure, Hausdorff dimension, pointwise dimensions, iteration.

Topics

Mathematical Dynamics and Fractals Topological and Geometric Data Analysis Digital Image Processing Techniques

Identifiers

DOI: 10.1109/ictacs59847.2023.10390237

Citations and references

Cited by 1 8 references

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