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

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

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.

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Bibliographische Detailangaben
Hauptverfasser: Aliyev, Abdurakhmon, Tirkasheva, Gulasal
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Invariants
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Zusammenfassung: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.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0199650