Fabian Burghart

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20212026

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math.PR2026

Ancestries in random $d$ -DAGs

Fabian Burghart

We consider a random recursive DAG $G_{n}$ on the vertex set $[n]$ where every vertex $i \geq 2$ has out-degree $d$ , with the targets chosen uniformly at random among the earlier $i-1…

math.PR2021

A Semiring Structure for Generalised Pólya Urns

Fabian Burghart

We define the notions of disjoint unions and products for generalised Pólya urns, proving that this turns the set of isomorphism classes of urns into a commutative semiring. The se…

Ancestries in random d-DAGs

A Semiring Structure for Generalised Pólya Urns

Ancestries in random $d$ -DAGs