Stable shredded spheres and causal random maps with large faces

Jakob Björnberg, Nicolas Curien, Sigurdur Örn Stefánsson

We introduce a new family of random compact metric spaces ${\mathcal{S}}_{\alpha }$ for $\alpha \in (1,2)$, which we call stable shredded spheres. They are constructed from excursions of $\alpha$-stable…