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Random Self‐Similar Multifractals
Author(s) -
Arbeiter Matthias,
Patzschke Norbert
Publication year - 1996
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.3211810102
Subject(s) - mathematics , measure (data warehouse) , random measure , hausdorff dimension , hausdorff measure , fractal , dimension (graph theory) , distribution (mathematics) , open set , probability measure , statistical physics , mathematical analysis , combinatorics , physics , database , computer science
For describing the local structure of a random self‐similar measure we use the multi‐fractal decomposition of its support into sets of points of different local dimension. Under the strong open set condition we compute the Hausdorff dimensions of these sets and the generalized dimensions of the random self‐similar measure. Furthermore, the tangential distribution of the random self‐similar measure is investigated.