Jörg Neunhäuserer
Abstract
We present a general result on absolute continuity of biased non-uniform self-similar measure on the real line, given by n different contraction and translation rates. The result holds generically in the sense of Lebesgue measure on a certain part of the parameter domain.
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We present a general result on absolute continuity of biased non-uniform self-similar measure on the real line, given by n different contraction and translation rates. The result holds generically in the sense of Lebesgue measure on a certain part of the parameter domain.
Key concepts: Absolute continuity, Real line, Lebesgue measure, Mathematics, Measure (data warehouse), Lebesgue integration, Absolute (philosophy), Contraction (grammar)