Exceptions in the domain of generic absolute continuity of non-homogeneous self-similar measures
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 [SSS]. Using certain algebraic curves we construct here exceptional singular non-homogeneous self-similar measures in this domain.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.