Article

Hausdorff dimension of invariant measure of piecewise linear circle maps with two breaks

A. AliyevV.I.Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, 46, University str., Tashkent 100174, UzbekistanGulasal TirkashevaNational University of Uzbekistan named after M. Ulugbek, Tashkent, Uzbekistan

AIP conference proceedingsjournal2024en

ABI

Abstract

In the present paper we investigate the Hausdorff dimension of singular invariant measure of piecewise linear circle homeomorphism. We construct circle homeomorphism whose invariant measure is singular but Hausdorff dimension is 1.

Topics

Mathematical Dynamics and Fractals Nonlinear Dynamics and Pattern Formation Chaos control and synchronization

Identifiers

DOI: 10.1063/5.0199650

Citations and references

Cited by 09 references

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