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math.DS2025
Thick-Thin non-Autonomous Julia Sets
Mark Comerford, Hiroki Sumi
Hereditarily non uniformly perfect (HNUP) sets were introduced by Stankewitz, Sugawa, and Sumi in \cite{SSS} who gave several examples of such sets based on Cantor set-like constru…
math.DS2024
Bowen's formula for a rational graph-directed Markov system
Tadashi Arimitsu, Johannes Jaerisch, Hiroki Sumi +1
We establish Bowen's formula for the Julia set of a non-elementary, expanding, irreducible and aperiodic rational graph-directed Markov system satisfying the backward separating co…