On absolutely continuous invariant measures with respect to Hausdorff measures on self-similar sets

DOI10.32917/HMJ/1206127486zbMath0921.28003OpenAlexW1498891336WikidataQ128865282 ScholiaQ128865282MaRDI QIDQ1917215

Munetaka Nakamura

Publication date: 4 September 1996

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.32917/hmj/1206127486

zbMATH Keywords

invariant measuresrenormalizationsymbolic dynamicsself-similar setsabsolute continuityHausdorff measuresequilibrium state

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractals (28A80) Ergodic theory (37A99) Hausdorff and packing measures (28A78)

Related Items (2)

The sets of divergence points of self-similar measures are residual ⋮ The pointwise dimension of self-similar measures in complete metric spaces

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