Jacques Peyri�re Universit� Paris-Sud (France)
On the multifractal formalism An early mathematical treatment of the multifractal analysis of measures
appeared in a joint article with G. Brown and G. Michon in 1992. An account of further developments is given:
the Olsen formalism, the last version of its justification and some extension. In particular, this allows to extend
the Besicovitch theorem on linear sets defined in terms of upper frequency of digits in base 2 expansions to an
arbitrary base.
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