Abstract
It is shown that the local geometry of a self-similar measure μ as captured by Bandt's average tangential distribution is the same at μ-almost all points of the underlying space. Moreover, for a self-similar measure explicit formulas for Bandt's tangential distribution as well as for the average density of Bedford and Fisher are derived.
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Graf, S. On Bandt's tangential distribution for self-similar measures. Monatshefte für Mathematik 120, 223–246 (1995). https://doi.org/10.1007/BF01294859
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DOI: https://doi.org/10.1007/BF01294859