Harmonic Coordinates on Fractals with Finitely Ramified Cell Structure
Harmonic Coordinates on Fractals with Finitely Ramified Cell Structure
Abstract We define sets with finitely ramified cell structure, which are generalizations of post-critically finite self-similar sets introduced by Kigami and of fractafolds introduced by Strichartz. In general, we do not assume even local self-similarity, and allow countably many cells connected at each junction point. In particular, we consider post-critically …