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math.DS2026
The Moran--Hutchinson formula in semimetric spaces
Kazuki Okamura
We establish the Moran--Hutchinson formula for attractors of finite systems of surjective similitudes on semimetric spaces. More precisely, for a complete, normal semimetric space…
math.DS2026
Singularity for graph-directed conjugate equations indexed by a two-vertex digraph
Kazuki Okamura
We study graph-directed conjugate functional equations on the unit interval indexed by the complete digraph with self-loops on two vertices. We focus on the singularity and regular…