Exceptions in the domain of generic absolute continuity of non-homogeneous self-similar measures

2024/10/11 by Jörg Neunhäuserer, Neunhäuserer, Jörg
Economics, Econometrics and Finance · #Complex Systems and Time Series Analysis

paper · pdf · doi:10.48550/arxiv.2410.08785

Abstract

Non-homogeneous self-similar measures are generically absolute continuous in the domain of parameters for which the similarity dimension is larger than one, see \cite[SSS]. Using certain algebraic curves we construct here exceptional singular non-homogeneous self-similar measures in this domain.

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