published on January 20, 2026
From connecting the dots to conjugacy of dynamical systems
By Pierre Arnoux
By De-Jun Feng
Appears in collection : Multifractal analysis and self-similarity / Analyse multifractale et auto-similarité
Let $\mu$ be a self-similar measure on the line satisfying the strong separation condition, or more generally, a Gibbs measure supported on a nonlinear Cantor set on the line. We conduct the one-sided multifractal analysis of $\mu$. This is based on joint work with Cai-Yun Ma.