On the dimension of self‐similar measures with complicated overlaps | Zendy

Bárány Balázs | Zendy; Szvák Edina | Zendy

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On the dimension of self‐similar measures with complicated overlaps

Author(s) -

Bárány Balázs,

Szvák Edina

Publication year - 2021

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.201900062

Subject(s) - mathematics , iterated function system , hausdorff dimension , dimension function , iterated function , packing dimension , invariant (physics) , outer measure , dimension (graph theory) , effective dimension , pure mathematics , minkowski–bouligand dimension , hausdorff space , hausdorff measure , fractal dimension , mathematical analysis , fractal , mathematical physics

In this paper, we investigate the Hausdorff dimension of the invariant measures of the iterated function system (IFS) { α x , β x , γ x + ( 1 − γ ) } . We provide an “almost every” type result by a direct application of the results of Feng and Hu [5] and Kamalutdinov and Tetenov [9].

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